312311133200 has 120 divisors (see below), whose sum is σ = 822782460576. Its totient is φ = 112978944000.

The previous prime is 312311133181. The next prime is 312311133217. The reversal of 312311133200 is 2331113213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665315 + ... + 1033085.

Almost surely, 2^312311133200 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 312311133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411391230288).

312311133200 is an abundant number, since it is smaller than the sum of its proper divisors (510471327376).

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

312311133200 is a wasteful number, since it uses less digits than its factorization.

312311133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367993 (or 367982 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 312311133200 its reverse (2331113213), we get a palindrome (314642246413).

The spelling of 312311133200 in words is "three hundred twelve billion, three hundred eleven million, one hundred thirty-three thousand, two hundred".