312545222513000 has 64 divisors (see below), whose sum is σ = 774376751350800. Its totient is φ = 117664083763200.

The previous prime is 312545222512993. The next prime is 312545222513033. The reversal of 312545222513000 is 315222545213.

It can be written as a sum of positive squares in 8 ways, for example, as 33434137515076 + 279111084997924 = 5782226^2 + 16706618^2 .

It is a super-2 number, since 2×312545222513000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9192489545 + ... + 9192523544.

Almost surely, 2^{312545222513000} is an apocalyptic number.

It is an amenable number.

312545222513000 is an abundant number, since it is smaller than the sum of its proper divisors (461831528837800).

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

312545222513000 is a wasteful number, since it uses less digits than its factorization.

312545222513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18385013127 (or 18385013113 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 312545222513000 in words is "three hundred twelve trillion, five hundred forty-five billion, two hundred twenty-two million, five hundred thirteen thousand".