312320000 has 140 divisors (see below), whose sum is σ = 793297626. Its totient is φ = 122880000.

The previous prime is 312319961. The next prime is 312320017. The reversal of 312320000 is 23213.

It can be written as a sum of positive squares in 5 ways, for example, as 11505664 + 300814336 = 3392^2 + 17344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5119970 + ... + 5120030.

Almost surely, 2^312320000 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 312320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396648813).

312320000 is an abundant number, since it is smaller than the sum of its proper divisors (480977626).

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

312320000 is an frugal number, since it uses more digits than its factorization.

312320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 312320000 is about 17672.5776274996. The cubic root of 312320000 is about 678.4740870790.

Adding to 312320000 its reverse (23213), we get a palindrome (312343213).

The spelling of 312320000 in words is "three hundred twelve million, three hundred twenty thousand".