312006404000 has 96 divisors (see below), whose sum is σ = 778042190016. Its totient is φ = 122939731200.

The previous prime is 312006403987. The next prime is 312006404027. The reversal of 312006404000 is 404600213.

It is a happy number.

It is a super-2 number, since 2×312006404000² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314102 + ... + 850101.

It is an arithmetic number, because the mean of its divisors is an integer number (8104606146).

Almost surely, 2^312006404000 is an apocalyptic number.

It is an amenable number.

312006404000 is an abundant number, since it is smaller than the sum of its proper divisors (466035786016).

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

312006404000 is a wasteful number, since it uses less digits than its factorization.

312006404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164295 (or 1164277 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The spelling of 312006404000 in words is "three hundred twelve billion, six million, four hundred four thousand".