12160130572800 has 3360 divisors, whose sum is σ = 56063095875072. Its totient is φ = 2549313699840.

The previous prime is 12160130572789. The next prime is 12160130572871. The reversal of 12160130572800 is 827503106121.

12160130572800 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 0 + 1 + 3 + 0 + 572 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 335 ways as a sum of consecutive naturals, for example, 52189401484 + ... + 52189401716.

Almost surely, 2^{12160130572800} is an apocalyptic number.

12160130572800 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 12160130572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28031547937536).

12160130572800 is an abundant number, since it is smaller than the sum of its proper divisors (43902965302272).

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

12160130572800 is an equidigital number, since it uses as much as digits as its factorization.

12160130572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 12160130572800 its reverse (827503106121), we get a palindrome (12987633678921).

The spelling of 12160130572800 in words is "twelve trillion, one hundred sixty billion, one hundred thirty million, five hundred seventy-two thousand, eight hundred".