312013320102120 has 256 divisors, whose sum is σ = 1152253276231680. Its totient is φ = 65819719296000.

The previous prime is 312013320102091. The next prime is 312013320102131. The reversal of 312013320102120 is 21201023310213.

It is a super-2 number, since 2×312013320102120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59180815 + ... + 64237025.

It is an arithmetic number, because the mean of its divisors is an integer number (4500989360280).

Almost surely, 2^{312013320102120} is an apocalyptic number.

312013320102120 is a gapful number since it is divisible by the number (30) 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 312013320102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576126638115840).

312013320102120 is an abundant number, since it is smaller than the sum of its proper divisors (840239956129560).

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

312013320102120 is a wasteful number, since it uses less digits than its factorization.

312013320102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5061896 (or 5061892 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 312013320102120 its reverse (21201023310213), we get a palindrome (333214343412333).

The spelling of 312013320102120 in words is "three hundred twelve trillion, thirteen billion, three hundred twenty million, one hundred two thousand, one hundred twenty".