12014397252000 has 3456 divisors, whose sum is σ = 53577598314240. Its totient is φ = 2620200960000.

The previous prime is 12014397251993. The next prime is 12014397252019. The reversal of 12014397252000 is 25279341021.

12014397252000 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 43 + 97 + 2 + 520 + 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 575 ways as a sum of consecutive naturals, for example, 110223827946 + ... + 110223828054.

It is an arithmetic number, because the mean of its divisors is an integer number (15502777290).

Almost surely, 2^{12014397252000} is an apocalyptic number.

12014397252000 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 12014397252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26788799157120).

12014397252000 is an abundant number, since it is smaller than the sum of its proper divisors (41563201062240).

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

12014397252000 is a wasteful number, since it uses less digits than its factorization.

12014397252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 204 counting only the distinct ones).

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

The spelling of 12014397252000 in words is "twelve trillion, fourteen billion, three hundred ninety-seven million, two hundred fifty-two thousand".