312125135310432 has 72 divisors (see below), whose sum is σ = 887697908088264. Its totient is φ = 104030921493504.

The previous prime is 312125135310427. The next prime is 312125135310463. The reversal of 312125135310432 is 234013531521213.

312125135310432 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 2 + 513 + 5 + 3 + 104 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 53417353 + ... + 58971720.

It is an arithmetic number, because the mean of its divisors is an integer number (12329137612337).

Almost surely, 2^{312125135310432} is an apocalyptic number.

312125135310432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312125135310432 is an abundant number, since it is smaller than the sum of its proper divisors (575572772777832).

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

312125135310432 is a wasteful number, since it uses less digits than its factorization.

312125135310432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112398732 (or 112398721 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 312125135310432 its reverse (234013531521213), we get a palindrome (546138666831645).

The spelling of 312125135310432 in words is "three hundred twelve trillion, one hundred twenty-five billion, one hundred thirty-five million, three hundred ten thousand, four hundred thirty-two".