312881871720 has 256 divisors, whose sum is σ = 1071447367680. Its totient is φ = 72352051200.

The previous prime is 312881871719. The next prime is 312881871737. The reversal of 312881871720 is 27178188213.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 312881871720.

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, 11128080 + ... + 11156160.

It is an arithmetic number, because the mean of its divisors is an integer number (4185341280).

Almost surely, 2^312881871720 is an apocalyptic number.

312881871720 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 312881871720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535723683840).

312881871720 is an abundant number, since it is smaller than the sum of its proper divisors (758565495960).

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

312881871720 is a wasteful number, since it uses less digits than its factorization.

312881871720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28496 (or 28492 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 48.

The spelling of 312881871720 in words is "three hundred twelve billion, eight hundred eighty-one million, eight hundred seventy-one thousand, seven hundred twenty".