12108360168000 has 560 divisors, whose sum is σ = 44853236972544. Its totient is φ = 3224657433600.

The previous prime is 12108360167989. The next prime is 12108360168013. The reversal of 12108360168000 is 86106380121.

12108360168000 is a `hidden beast` number, since 1 + 210 + 8 + 360 + 1 + 6 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×12108360168000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 509964129 + ... + 509987871.

Almost surely, 2^{12108360168000} is an apocalyptic number.

12108360168000 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 12108360168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22426618486272).

12108360168000 is an abundant number, since it is smaller than the sum of its proper divisors (32744876804544).

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

12108360168000 is an equidigital number, since it uses as much as digits as its factorization.

12108360168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24569 (or 24540 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 12108360168000 in words is "twelve trillion, one hundred eight billion, three hundred sixty million, one hundred sixty-eight thousand".