12801312 has 36 divisors (see below), whose sum is σ = 36404550. Its totient is φ = 4267008.

The previous prime is 12801311. The next prime is 12801319. The reversal of 12801312 is 21310821.

It can be written as a sum of positive squares in only one way, i.e., 8785296 + 4016016 = 2964^2 + 2004^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

12801312 is a modest number, since divided by 1312 gives 128 as remainder.

It is not an unprimeable number, because it can be changed into a prime (12801311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21937 + ... + 22512.

Almost surely, 2^12801312 is an apocalyptic number.

12801312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12801312 is an abundant number, since it is smaller than the sum of its proper divisors (23603238).

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

12801312 is a wasteful number, since it uses less digits than its factorization.

12801312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44465 (or 44454 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 12801312 is about 3577.8921168755. The cubic root of 12801312 is about 233.9294110991.

The spelling of 12801312 in words is "twelve million, eight hundred one thousand, three hundred twelve".