12107651079744 has 1008 divisors, whose sum is σ = 40389176528064. Its totient is φ = 3592895201280.

The previous prime is 12107651079701. The next prime is 12107651079757. The reversal of 12107651079744 is 44797015670121.

12107651079744 is a `hidden beast` number, since 1 + 2 + 10 + 7 + 6 + 510 + 79 + 7 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20626321819 + ... + 20626322405.

It is an arithmetic number, because the mean of its divisors is an integer number (40068627508).

Almost surely, 2^{12107651079744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12107651079744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20194588264032).

12107651079744 is an abundant number, since it is smaller than the sum of its proper divisors (28281525448320).

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

12107651079744 is a wasteful number, since it uses less digits than its factorization.

12107651079744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 12107651079744 in words is "twelve trillion, one hundred seven billion, six hundred fifty-one million, seventy-nine thousand, seven hundred forty-four".