312331211200 has 168 divisors, whose sum is σ = 813954907520. Its totient is φ = 117629107200.

The previous prime is 312331211149. The next prime is 312331211201. The reversal of 312331211200 is 2112133213.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312331211201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4923685 + ... + 4986715.

Almost surely, 2^312331211200 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 312331211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406977453760).

312331211200 is an abundant number, since it is smaller than the sum of its proper divisors (501623696320).

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

312331211200 is a wasteful number, since it uses less digits than its factorization.

312331211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63235 (or 63220 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 312331211200 its reverse (2112133213), we get a palindrome (314443344413).

The spelling of 312331211200 in words is "three hundred twelve billion, three hundred thirty-one million, two hundred eleven thousand, two hundred".