312031012320 has 768 divisors, whose sum is σ = 1159151212800. Its totient is φ = 79259959296.

The previous prime is 312031012309. The next prime is 312031012333. The reversal of 312031012320 is 23210130213.

312031012320 is a `hidden beast` number, since 3 + 1 + 20 + 310 + 12 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312031012293 and 312031012302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 984324802 + ... + 984325118.

It is an arithmetic number, because the mean of its divisors is an integer number (1509311475).

Almost surely, 2^312031012320 is an apocalyptic number.

312031012320 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 312031012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579575606400).

312031012320 is an abundant number, since it is smaller than the sum of its proper divisors (847120200480).

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

312031012320 is an equidigital number, since it uses as much as digits as its factorization.

312031012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 312031012320 its reverse (23210130213), we get a palindrome (335241142533).

The spelling of 312031012320 in words is "three hundred twelve billion, thirty-one million, twelve thousand, three hundred twenty".