3112136968512 has 672 divisors, whose sum is σ = 9913204984320. Its totient is φ = 854031360000.

The previous prime is 3112136968511. The next prime is 3112136968529. The reversal of 3112136968512 is 2158696312113.

It is a super-2 number, since 2×3112136968512² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112136968511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4722514039 + ... + 4722514697.

Almost surely, 2^{3112136968512} is an apocalyptic number.

3112136968512 is a gapful number since it is divisible by the number (32) 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 3112136968512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4956602492160).

3112136968512 is an abundant number, since it is smaller than the sum of its proper divisors (6801068015808).

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

3112136968512 is a wasteful number, since it uses less digits than its factorization.

3112136968512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 920 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The spelling of 3112136968512 in words is "three trillion, one hundred twelve billion, one hundred thirty-six million, nine hundred sixty-eight thousand, five hundred twelve".