12097716076800 has 864 divisors, whose sum is σ = 46074651033600. Its totient is φ = 3103779594240.

The previous prime is 12097716076709. The next prime is 12097716076829. The reversal of 12097716076800 is 867061779021.

12097716076800 is a `hidden beast` number, since 1 + 20 + 9 + 7 + 7 + 1 + 607 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 479161777 + ... + 479187023.

It is an arithmetic number, because the mean of its divisors is an integer number (53327142400).

Almost surely, 2^{12097716076800} is an apocalyptic number.

12097716076800 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 12097716076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23037325516800).

12097716076800 is an abundant number, since it is smaller than the sum of its proper divisors (33976934956800).

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

12097716076800 is a wasteful number, since it uses less digits than its factorization.

12097716076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25388 (or 25363 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 12097716076800 in words is "twelve trillion, ninety-seven billion, seven hundred sixteen million, seventy-six thousand, eight hundred".