312552253200 has 240 divisors, whose sum is σ = 1139717339136. Its totient is φ = 72475814400.

The previous prime is 312552253199. The next prime is 312552253241. The reversal of 312552253200 is 2352255213.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211144 + ... + 818343.

Almost surely, 2^312552253200 is an apocalyptic number.

312552253200 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 312552253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569858669568).

312552253200 is an abundant number, since it is smaller than the sum of its proper divisors (827165085936).

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

312552253200 is a wasteful number, since it uses less digits than its factorization.

312552253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029542 (or 1029531 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 312552253200 in words is "three hundred twelve billion, five hundred fifty-two million, two hundred fifty-three thousand, two hundred".