3512156118912 has 768 divisors, whose sum is σ = 12785683680000. Its totient is φ = 943699341312.

The previous prime is 3512156118881. The next prime is 3512156118979. The reversal of 3512156118912 is 2198116512153.

3512156118912 is a `hidden beast` number, since 3 + 5 + 1 + 2 + 1 + 561 + 1 + 89 + 1 + 2 = 666.

3512156118912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3512156118912² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 447233578 + ... + 447241430.

It is an arithmetic number, because the mean of its divisors is an integer number (16648025625).

Almost surely, 2^{3512156118912} is an apocalyptic number.

3512156118912 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 3512156118912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6392841840000).

3512156118912 is an abundant number, since it is smaller than the sum of its proper divisors (9273527561088).

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

3512156118912 is a wasteful number, since it uses less digits than its factorization.

3512156118912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8048 (or 8023 counting only the distinct ones).

The product of its digits is 129600, while the sum is 45.

The spelling of 3512156118912 in words is "three trillion, five hundred twelve billion, one hundred fifty-six million, one hundred eighteen thousand, nine hundred twelve".