312132120029968 has 80 divisors (see below), whose sum is σ = 691633895883264. Its totient is φ = 133677207982080.

The previous prime is 312132120029921. The next prime is 312132120029969. The reversal of 312132120029968 is 869920021231213.

It is not an unprimeable number, because it can be changed into a prime (312132120029969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2051926233 + ... + 2052078343.

Almost surely, 2^{312132120029968} is an apocalyptic number.

It is an amenable number.

312132120029968 is an abundant number, since it is smaller than the sum of its proper divisors (379501775853296).

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

312132120029968 is a wasteful number, since it uses less digits than its factorization.

312132120029968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164840 (or 164834 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The spelling of 312132120029968 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred twenty million, twenty-nine thousand, nine hundred sixty-eight".