312265728000 has 672 divisors, whose sum is σ = 1163131137792. Its totient is φ = 80510976000.

The previous prime is 312265727993. The next prime is 312265728001. The reversal of 312265728000 is 827562213.

312265728000 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 6 + 572 + 80 + 0 + 0 = 666.

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 (312265728001) 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, 285695454 + ... + 285696546.

Almost surely, 2^312265728000 is an apocalyptic number.

312265728000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312265728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581565568896).

312265728000 is an abundant number, since it is smaller than the sum of its proper divisors (850865409792).

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

312265728000 is a wasteful number, since it uses less digits than its factorization.

312265728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 312265728000 in words is "three hundred twelve billion, two hundred sixty-five million, seven hundred twenty-eight thousand".