312332111313320 has 384 divisors, whose sum is σ = 836300205861120. Its totient is φ = 104645302272000.

The previous prime is 312332111313317. The next prime is 312332111313373. The reversal of 312332111313320 is 23313111233213.

It is a super-2 number, since 2×312332111313320² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11415216440 + ... + 11415243800.

It is an arithmetic number, because the mean of its divisors is an integer number (2177865119430).

Almost surely, 2^{312332111313320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312332111313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418150102930560).

312332111313320 is an abundant number, since it is smaller than the sum of its proper divisors (523968094547800).

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

312332111313320 is a wasteful number, since it uses less digits than its factorization.

312332111313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28065 (or 28054 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 312332111313320 its reverse (23313111233213), we get a palindrome (335645222546533).

The spelling of 312332111313320 in words is "three hundred twelve trillion, three hundred thirty-two billion, one hundred eleven million, three hundred thirteen thousand, three hundred twenty".