12116511150516 has 36 divisors (see below), whose sum is σ = 30627954711172. Its totient is φ = 4038822929664.

The previous prime is 12116511150511. The next prime is 12116511150521. The reversal of 12116511150516 is 61505111561121.

12116511150516 is a `hidden beast` number, since 1 + 2 + 116 + 5 + 11 + 15 + 0 + 516 = 666.

It is an interprime number because it is at equal distance from previous prime (12116511150511) and next prime (12116511150521).

It can be written as a sum of positive squares in 2 ways, for example, as 5810365620900 + 6306145529616 = 2410470^2 + 2511204^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12116511150511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17311866 + ... + 17998158.

Almost surely, 2^{12116511150516} is an apocalyptic number.

It is an amenable number.

12116511150516 is an abundant number, since it is smaller than the sum of its proper divisors (18511443560656).

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

12116511150516 is a wasteful number, since it uses less digits than its factorization.

12116511150516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176720 (or 1176715 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 36.

The spelling of 12116511150516 in words is "twelve trillion, one hundred sixteen billion, five hundred eleven million, one hundred fifty thousand, five hundred sixteen".