12991605243120 has 960 divisors, whose sum is σ = 52835618304000. Its totient is φ = 2925144907776.

The previous prime is 12991605243109. The next prime is 12991605243157. The reversal of 12991605243120 is 2134250619921.

It is a happy number.

12991605243120 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 1 + 605 + 2 + 4 + 31 + 2 + 0 = 666.

12991605243120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4205762536 + ... + 4205765624.

It is an arithmetic number, because the mean of its divisors is an integer number (55037102400).

Almost surely, 2^{12991605243120} is an apocalyptic number.

12991605243120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12991605243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417809152000).

12991605243120 is an abundant number, since it is smaller than the sum of its proper divisors (39844013060880).

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

12991605243120 is a wasteful number, since it uses less digits than its factorization.

12991605243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 12991605243120 in words is "twelve trillion, nine hundred ninety-one billion, six hundred five million, two hundred forty-three thousand, one hundred twenty".