312110080 has 88 divisors (see below), whose sum is σ = 765217728. Its totient is φ = 122093568.

The previous prime is 312110063. The next prime is 312110083. The reversal of 312110080 is 80011213.

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

It is not an unprimeable number, because it can be changed into a prime (312110083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239992 + ... + 241288.

It is an arithmetic number, because the mean of its divisors is an integer number (8695656).

Almost surely, 2^312110080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382608864).

312110080 is an abundant number, since it is smaller than the sum of its proper divisors (453107648).

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

312110080 is a wasteful number, since it uses less digits than its factorization.

312110080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 312110080 is about 17666.6374842526. The cubic root of 312110080 is about 678.3220451543.

Adding to 312110080 its reverse (80011213), we get a palindrome (392121293).

The spelling of 312110080 in words is "three hundred twelve million, one hundred ten thousand, eighty".