312310012520000 has 560 divisors, whose sum is σ = 890692912032000. Its totient is φ = 107420878080000.

The previous prime is 312310012519957. The next prime is 312310012520063. The reversal of 312310012520000 is 25210013213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5375450951 + ... + 5375509049.

It is an arithmetic number, because the mean of its divisors is an integer number (1590523057200).

Almost surely, 2^{312310012520000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312310012520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445346456016000).

312310012520000 is an abundant number, since it is smaller than the sum of its proper divisors (578382899512000).

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

312310012520000 is a wasteful number, since it uses less digits than its factorization.

312310012520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58804 (or 58779 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 312310012520000 its reverse (25210013213), we get a palindrome (312335222533213).

The spelling of 312310012520000 in words is "three hundred twelve trillion, three hundred ten billion, twelve million, five hundred twenty thousand".