12135092734116 has 243 divisors, whose sum is σ = 34480297469163. Its totient is φ = 3595855523040.

The previous prime is 12135092734057. The next prime is 12135092734123. The reversal of 12135092734116 is 61143729053121.

The square root of 12135092734116 is 3483546.

It is a perfect power (a square), and thus also a powerful number.

12135092734116 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 509 + 27 + 3 + 4 + 116 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10805959131 + ... + 10805960253.

Almost surely, 2^{12135092734116} is an apocalyptic number.

12135092734116 is the 3483546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12135092734116

12135092734116 is an abundant number, since it is smaller than the sum of its proper divisors (22345204735047).

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

12135092734116 is a wasteful number, since it uses less digits than its factorization.

12135092734116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12135092734116 in words is "twelve trillion, one hundred thirty-five billion, ninety-two million, seven hundred thirty-four thousand, one hundred sixteen".