312072512562304 has 128 divisors (see below), whose sum is σ = 710160654495600. Its totient is φ = 135322659323904.

The previous prime is 312072512562301. The next prime is 312072512562329. The reversal of 312072512562304 is 403265215270213.

It can be written as a sum of positive squares in 8 ways, for example, as 33468076225600 + 278604436336704 = 5785160^2 + 16691448^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (312072512562301) 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, 6401694 + ... + 25790050.

Almost surely, 2^{312072512562304} is an apocalyptic number.

312072512562304 is a gapful number since it is divisible by the number (34) 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 312072512562304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355080327247800).

312072512562304 is an abundant number, since it is smaller than the sum of its proper divisors (398088141933296).

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

312072512562304 is a wasteful number, since it uses less digits than its factorization.

312072512562304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19388970 (or 19388958 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 312072512562304 in words is "three hundred twelve trillion, seventy-two billion, five hundred twelve million, five hundred sixty-two thousand, three hundred four".