12107618279424 has 252 divisors, whose sum is σ = 35109529367796. Its totient is φ = 4020439351296.

The previous prime is 12107618279423. The next prime is 12107618279443. The reversal of 12107618279424 is 42497281670121.

It is a happy number.

12107618279424 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 76 + 1 + 82 + 79 + 424 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12107618279423) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20417568472 + ... + 20417569064.

Almost surely, 2^{12107618279424} 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 12107618279424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17554764683898).

12107618279424 is an abundant number, since it is smaller than the sum of its proper divisors (23001911088372).

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

12107618279424 is an frugal number, since it uses more digits than its factorization.

12107618279424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 12107618279424 in words is "twelve trillion, one hundred seven billion, six hundred eighteen million, two hundred seventy-nine thousand, four hundred twenty-four".