12115154354004 has 72 divisors (see below), whose sum is σ = 33431925275112. Its totient is φ = 3676674862080.

The previous prime is 12115154353961. The next prime is 12115154354033. The reversal of 12115154354004 is 40045345151121.

12115154354004 is a `hidden beast` number, since 1 + 2 + 11 + 51 + 54 + 3 + 540 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40557932100 + 12074596421904 = 201390^2 + 3474852^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 12115154354004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177274617 + ... + 177342944.

Almost surely, 2^{12115154354004} is an apocalyptic number.

It is an amenable number.

12115154354004 is an abundant number, since it is smaller than the sum of its proper divisors (21316770921108).

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

12115154354004 is a wasteful number, since it uses less digits than its factorization.

12115154354004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354617657 (or 354617652 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 12115154354004 in words is "twelve trillion, one hundred fifteen billion, one hundred fifty-four million, three hundred fifty-four thousand, four".