312002131200 has 216 divisors, whose sum is σ = 1083866565600. Its totient is φ = 78821498880.

The previous prime is 312002131193. The next prime is 312002131213. The reversal of 312002131200 is 2131200213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 312002131200.

It is a congruent number.

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, 62835 + ... + 792434.

Almost surely, 2^312002131200 is an apocalyptic number.

312002131200 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 312002131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541933282800).

312002131200 is an abundant number, since it is smaller than the sum of its proper divisors (771864434400).

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

312002131200 is a wasteful number, since it uses less digits than its factorization.

312002131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855317 (or 855298 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 312002131200 its reverse (2131200213), we get a palindrome (314133331413).

The spelling of 312002131200 in words is "three hundred twelve billion, two million, one hundred thirty-one thousand, two hundred".