12136719795840 has 96 divisors (see below), whose sum is σ = 41909610564900. Its totient is φ = 3236458610688.

The previous prime is 12136719795803. The next prime is 12136719795887. The reversal of 12136719795840 is 4859791763121.

12136719795840 is a `hidden beast` number, since 1 + 2 + 1 + 36 + 7 + 19 + 7 + 9 + 584 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11707401305664 + 429318490176 = 3421608^2 + 655224^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1053528945 + ... + 1053540464.

It is a 3-persistent number, because k⋅12136719795840 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{12136719795840} is an apocalyptic number.

12136719795840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12136719795840 is an abundant number, since it is smaller than the sum of its proper divisors (29772890769060).

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

12136719795840 is a wasteful number, since it uses less digits than its factorization.

12136719795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107069434 (or 2107069419 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 12136719795840 in words is "twelve trillion, one hundred thirty-six billion, seven hundred nineteen million, seven hundred ninety-five thousand, eight hundred forty".