312031013200 has 60 divisors (see below), whose sum is σ = 756288729468. Its totient is φ = 123707852800.

The previous prime is 312031013191. The next prime is 312031013207. The reversal of 312031013200 is 2310130213.

It can be written as a sum of positive squares in 6 ways, for example, as 113307638544 + 198723374656 = 336612^2 + 445784^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312031013207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3406471 + ... + 3496870.

Almost surely, 2^312031013200 is an apocalyptic number.

It is an amenable number.

312031013200 is an abundant number, since it is smaller than the sum of its proper divisors (444257716268).

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

312031013200 is a wasteful number, since it uses less digits than its factorization.

312031013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6903472 (or 6903461 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 312031013200 its reverse (2310130213), we get a palindrome (314341143413).

The spelling of 312031013200 in words is "three hundred twelve billion, thirty-one million, thirteen thousand, two hundred".