311297925120 has 1344 divisors, whose sum is σ = 1291465861056. Its totient is φ = 63417876480.

The previous prime is 311297925097. The next prime is 311297925259. The reversal of 311297925120 is 21529792113.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 3209256912 + ... + 3209257008.

It is an arithmetic number, because the mean of its divisors is an integer number (960912099).

Almost surely, 2^311297925120 is an apocalyptic number.

311297925120 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 311297925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645732930528).

311297925120 is an abundant number, since it is smaller than the sum of its proper divisors (980167935936).

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

311297925120 is a wasteful number, since it uses less digits than its factorization.

311297925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The spelling of 311297925120 in words is "three hundred eleven billion, two hundred ninety-seven million, nine hundred twenty-five thousand, one hundred twenty".