12107940444864 has 336 divisors, whose sum is σ = 38294453134080. Its totient is φ = 3627106560000.

The previous prime is 12107940444863. The next prime is 12107940444877. The reversal of 12107940444864 is 46844404970121.

12107940444864 is a `hidden beast` number, since 1 + 2 + 10 + 79 + 40 + 44 + 486 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12107940444864.

It is not an unprimeable number, because it can be changed into a prime (12107940444863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421703469 + ... + 421732179.

Almost surely, 2^{12107940444864} 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 12107940444864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19147226567040).

12107940444864 is an abundant number, since it is smaller than the sum of its proper divisors (26186512689216).

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

12107940444864 is a wasteful number, since it uses less digits than its factorization.

12107940444864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29500 (or 29487 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 12107940444864 in words is "twelve trillion, one hundred seven billion, nine hundred forty million, four hundred forty-four thousand, eight hundred sixty-four".