312114512000 has 64 divisors (see below), whose sum is σ = 775994745240. Its totient is φ = 124845798400.

The previous prime is 312114511999. The next prime is 312114512027. The reversal of 312114512000 is 215411213.

It can be written as a sum of positive squares in 4 ways, for example, as 18324495424 + 293790016576 = 135368^2 + 542024^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9737579 + ... + 9769578.

Almost surely, 2^312114512000 is an apocalyptic number.

It is an amenable number.

312114512000 is an abundant number, since it is smaller than the sum of its proper divisors (463880233240).

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

312114512000 is an equidigital number, since it uses as much as digits as its factorization.

312114512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19507186 (or 19507164 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 312114512000 its reverse (215411213), we get a palindrome (312329923213).

The spelling of 312114512000 in words is "three hundred twelve billion, one hundred fourteen million, five hundred twelve thousand".