12001253972004 has 252 divisors, whose sum is σ = 35128414198192. Its totient is φ = 3582456815520.

The previous prime is 12001253971981. The next prime is 12001253972021. The reversal of 12001253972004 is 40027935210021.

12001253972004 is a `hidden beast` number, since 120 + 0 + 125 + 397 + 20 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12001253972004.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 23386179 + ... + 23893845.

Almost surely, 2^{12001253972004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001253972004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17564207099096).

12001253972004 is an abundant number, since it is smaller than the sum of its proper divisors (23127160226188).

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

12001253972004 is a wasteful number, since it uses less digits than its factorization.

12001253972004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507778 (or 507750 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12001253972004 in words is "twelve trillion, one billion, two hundred fifty-three million, nine hundred seventy-two thousand, four".