3112131331200 has 192 divisors, whose sum is σ = 10527626545920. Its totient is φ = 807471820800.

The previous prime is 3112131331159. The next prime is 3112131331223. The reversal of 3112131331200 is 21331312113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3112131331200² (a number of 26 digits) contains 22 as substring.

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, 4025616 + ... + 4736015.

It is an arithmetic number, because the mean of its divisors is an integer number (54831388260).

Almost surely, 2^{3112131331200} is an apocalyptic number.

3112131331200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3112131331200 is an abundant number, since it is smaller than the sum of its proper divisors (7415495214720).

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

3112131331200 is a wasteful number, since it uses less digits than its factorization.

3112131331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8761695 (or 8761678 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 3112131331200 its reverse (21331312113), we get a palindrome (3133462643313).

The spelling of 3112131331200 in words is "three trillion, one hundred twelve billion, one hundred thirty-one million, three hundred thirty-one thousand, two hundred".