312700600992 has 576 divisors, whose sum is σ = 986573589120. Its totient is φ = 85953871872.

The previous prime is 312700600963. The next prime is 312700601009. The reversal of 312700600992 is 299006007213.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 312700600992.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1216733728 + ... + 1216733984.

It is an arithmetic number, because the mean of its divisors is an integer number (1712801370).

Almost surely, 2^312700600992 is an apocalyptic number.

312700600992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312700600992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493286794560).

312700600992 is an abundant number, since it is smaller than the sum of its proper divisors (673872988128).

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

312700600992 is a wasteful number, since it uses less digits than its factorization.

312700600992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 312700600992 in words is "three hundred twelve billion, seven hundred million, six hundred thousand, nine hundred ninety-two".