312131112320000 has 660 divisors, whose sum is σ = 828507840593400. Its totient is φ = 117474471936000.

The previous prime is 312131112319993. The next prime is 312131112320021. The reversal of 312131112320000 is 23211131213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 34424955467 + ... + 34424964533.

It is an arithmetic number, because the mean of its divisors is an integer number (1255314909990).

Almost surely, 2^{312131112320000} 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 312131112320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414253920296700).

312131112320000 is an abundant number, since it is smaller than the sum of its proper divisors (516376728273400).

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

312131112320000 is an equidigital number, since it uses as much as digits as its factorization.

312131112320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9294 (or 9242 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 312131112320000 its reverse (23211131213), we get a palindrome (312154323451213).

The spelling of 312131112320000 in words is "three hundred twelve trillion, one hundred thirty-one billion, one hundred twelve million, three hundred twenty thousand".