312112003120 has 40 divisors (see below), whose sum is σ = 725741612064. Its totient is φ = 124830830592.

The previous prime is 312112003067. The next prime is 312112003243. The reversal of 312112003120 is 21300211213.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×312112003120⁴ (a number of 47 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 312112003094 and 312112003103.

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, 516432 + ... + 943888.

Almost surely, 2^312112003120 is an apocalyptic number.

It is an amenable number.

312112003120 is an abundant number, since it is smaller than the sum of its proper divisors (413629608944).

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

312112003120 is a wasteful number, since it uses less digits than its factorization.

312112003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436597 (or 436591 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 312112003120 its reverse (21300211213), we get a palindrome (333412214333).

The spelling of 312112003120 in words is "three hundred twelve billion, one hundred twelve million, three thousand, one hundred twenty".