1229312 has 50 divisors (see below), whose sum is σ = 2865423. Its totient is φ = 526848.

The previous prime is 1229311. The next prime is 1229317. The reversal of 1229312 is 2139221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 614656 + 614656 = 784^2 + 784^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=784.

It is a super-2 number, since 2×1229312^{2} = 3022415986688, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (216) is a multiple of the sum of its prime divisors (9).

It is not an unprimeable number, because it can be changed into a prime (1229311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 175613 + ... + 175619.

2^{1229312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1229312

1229312 is an abundant number, since it is smaller than the sum of its proper divisors (1636111).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1229312 is an frugal number, since it uses more digits than its factorization.

1229312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 9 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

The square root of 1229312 is about 1108.7434329005. The cubic root of 1229312 is about 107.1241462353.

Subtracting 1229312 from its reverse (2139221), we obtain a palindrome (909909).

The spelling of 1229312 in words is "one million, two hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1372 1568 1792 2401 2744 3136 3584 4802 5488 6272 9604 10976 12544 19208 21952 25088 38416 43904 76832 87808 153664 175616 307328 614656 1229312

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