12104154972000 has 7680 divisors, whose sum is σ = 64442192855040. Its totient is φ = 2149908480000.

The previous prime is 12104154971957. The next prime is 12104154972073. The reversal of 12104154972000 is 27945140121.

12104154972000 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 41 + 549 + 72 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 295223291980 + ... + 295223292020.

It is an arithmetic number, because the mean of its divisors is an integer number (8390910528).

Almost surely, 2^{12104154972000} is an apocalyptic number.

12104154972000 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 12104154972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32221096427520).

12104154972000 is an abundant number, since it is smaller than the sum of its proper divisors (52338037883040).

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

12104154972000 is a wasteful number, since it uses less digits than its factorization.

12104154972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

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

The spelling of 12104154972000 in words is "twelve trillion, one hundred four billion, one hundred fifty-four million, nine hundred seventy-two thousand".