315201331200 has 672 divisors, whose sum is σ = 1206803759616. Its totient is φ = 71097384960.

The previous prime is 315201331163. The next prime is 315201331213. The reversal of 315201331200 is 2133102513.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 356965959 + ... + 356966841.

It is an arithmetic number, because the mean of its divisors is an integer number (1795838928).

Almost surely, 2^315201331200 is an apocalyptic number.

315201331200 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 315201331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603401879808).

315201331200 is an abundant number, since it is smaller than the sum of its proper divisors (891602428416).

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

315201331200 is an equidigital number, since it uses as much as digits as its factorization.

315201331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 315201331200 its reverse (2133102513), we get a palindrome (317334433713).

The spelling of 315201331200 in words is "three hundred fifteen billion, two hundred one million, three hundred thirty-one thousand, two hundred".