312012131202400 has 72 divisors (see below), whose sum is σ = 761981002047720. Its totient is φ = 124758747125760.

The previous prime is 312012131202337. The next prime is 312012131202413. The reversal of 312012131202400 is 4202131210213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69872665 + ... + 74203864.

It is an arithmetic number, because the mean of its divisors is an integer number (10583069472885).

Almost surely, 2^{312012131202400} is an apocalyptic number.

It is an amenable number.

312012131202400 is an abundant number, since it is smaller than the sum of its proper divisors (449968870845320).

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

312012131202400 is a wasteful number, since it uses less digits than its factorization.

312012131202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144079256 (or 144079243 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 312012131202400 its reverse (4202131210213), we get a palindrome (316214262412613).

The spelling of 312012131202400 in words is "three hundred twelve trillion, twelve billion, one hundred thirty-one million, two hundred two thousand, four hundred".