312112980603888 has 160 divisors (see below), whose sum is σ = 863547191228160. Its totient is φ = 96844479621120.

The previous prime is 312112980603887. The next prime is 312112980603889. The reversal of 312112980603888 is 888306089211213.

It is an interprime number because it is at equal distance from previous prime (312112980603887) and next prime (312112980603889).

It is a super-2 number, since 2×312112980603888² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312112980603883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50073795 + ... + 55960797.

It is an arithmetic number, because the mean of its divisors is an integer number (5397169945176).

Almost surely, 2^{312112980603888} is an apocalyptic number.

312112980603888 is a gapful number since it is divisible by the number (38) 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 312112980603888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431773595614080).

312112980603888 is an abundant number, since it is smaller than the sum of its proper divisors (551434210624272).

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

312112980603888 is a wasteful number, since it uses less digits than its factorization.

312112980603888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5888047 (or 5888041 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 60.

The spelling of 312112980603888 in words is "three hundred twelve trillion, one hundred twelve billion, nine hundred eighty million, six hundred three thousand, eight hundred eighty-eight".