312031120000 has 320 divisors, whose sum is σ = 819205770240. Its totient is φ = 118172160000.

The previous prime is 312031119923. The next prime is 312031120007. The reversal of 312031120000 is 21130213.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (312031120007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 116558662 + ... + 116561338.

It is an arithmetic number, because the mean of its divisors is an integer number (2560018032).

Almost surely, 2^312031120000 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 312031120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409602885120).

312031120000 is an abundant number, since it is smaller than the sum of its proper divisors (507174650240).

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

312031120000 is an equidigital number, since it uses as much as digits as its factorization.

312031120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 312031120000 its reverse (21130213), we get a palindrome (312052250213).

The spelling of 312031120000 in words is "three hundred twelve billion, thirty-one million, one hundred twenty thousand".