312987312 has 240 divisors, whose sum is σ = 1019506176. Its totient is φ = 89443200.

The previous prime is 312987299. The next prime is 312987319. The reversal of 312987312 is 213789213.

It is a super-2 number, since 2×312987312² = 195922114945970688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312987319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4408237 + ... + 4408307.

Almost surely, 2^312987312 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 312987312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509753088).

312987312 is an abundant number, since it is smaller than the sum of its proper divisors (706518864).

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

312987312 is a wasteful number, since it uses less digits than its factorization.

312987312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 110 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 312987312 is about 17691.4474252391. The cubic root of 312987312 is about 678.9569591616.

The spelling of 312987312 in words is "three hundred twelve million, nine hundred eighty-seven thousand, three hundred twelve".