312045521515020 has 72 divisors (see below), whose sum is σ = 964397291051376. Its totient is φ = 81642098708352.

The previous prime is 312045521515019. The next prime is 312045521515051. The reversal of 312045521515020 is 20515125540213.

312045521515020 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 4 + 552 + 1 + 51 + 50 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16354577542 + ... + 16354596621.

It is an arithmetic number, because the mean of its divisors is an integer number (13394406820158).

Almost surely, 2^{312045521515020} is an apocalyptic number.

312045521515020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312045521515020 is an abundant number, since it is smaller than the sum of its proper divisors (652351769536356).

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

312045521515020 is a wasteful number, since it uses less digits than its factorization.

312045521515020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32709174231 (or 32709174226 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 312045521515020 in words is "three hundred twelve trillion, forty-five billion, five hundred twenty-one million, five hundred fifteen thousand, twenty".