12801456 has 40 divisors (see below), whose sum is σ = 36746160. Its totient is φ = 4267008.

The previous prime is 12801449. The next prime is 12801457. The reversal of 12801456 is 65410821.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12801457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14385 + ... + 15248.

It is an arithmetic number, because the mean of its divisors is an integer number (918654).

Almost surely, 2^12801456 is an apocalyptic number.

12801456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12801456 is an abundant number, since it is smaller than the sum of its proper divisors (23944704).

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

12801456 is a wasteful number, since it uses less digits than its factorization.

12801456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29650 (or 29638 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12801456 is about 3577.9122403994. The cubic root of 12801456 is about 233.9302882412.

The spelling of 12801456 in words is "twelve million, eight hundred one thousand, four hundred fifty-six".