312083120 has 40 divisors (see below), whose sum is σ = 726411840. Its totient is φ = 124692480.

The previous prime is 312083117. The next prime is 312083131. The reversal of 312083120 is 21380213.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 312083092 and 312083101.

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, 96896 + ... + 100064.

It is an arithmetic number, because the mean of its divisors is an integer number (18160296).

Almost surely, 2^312083120 is an apocalyptic number.

It is an amenable number.

312083120 is an abundant number, since it is smaller than the sum of its proper divisors (414328720).

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

312083120 is a wasteful number, since it uses less digits than its factorization.

312083120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4413 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 312083120 is about 17665.8744476462. The cubic root of 312083120 is about 678.3025134890.

The spelling of 312083120 in words is "three hundred twelve million, eighty-three thousand, one hundred twenty".