312324912 has 120 divisors (see below), whose sum is σ = 918878688. Its totient is φ = 98841600.

The previous prime is 312324911. The next prime is 312324913. The reversal of 312324912 is 219423213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312324911) and next prime (312324913).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (312324911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599212 + ... + 599732.

Almost surely, 2^312324912 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 312324912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459439344).

312324912 is an abundant number, since it is smaller than the sum of its proper divisors (606553776).

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

312324912 is a wasteful number, since it uses less digits than its factorization.

312324912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 730 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 312324912 is about 17672.7165993234. The cubic root of 312324912 is about 678.4776439515.

It can be divided in two parts, 312324 and 912, that added together give a triangular number (313236 = T₇₉₁).

The spelling of 312324912 in words is "three hundred twelve million, three hundred twenty-four thousand, nine hundred twelve".