12235793856000 has 1280 divisors, whose sum is σ = 47936823846912. Its totient is φ = 2729852928000.

The previous prime is 12235793855977. The next prime is 12235793856017. The reversal of 12235793856000 is 65839753221.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16830527637 + ... + 16830528363.

Almost surely, 2^{12235793856000} is an apocalyptic number.

12235793856000 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 12235793856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23968411923456).

12235793856000 is an abundant number, since it is smaller than the sum of its proper divisors (35701029990912).

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

12235793856000 is a wasteful number, since it uses less digits than its factorization.

12235793856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 12235793856000 in words is "twelve trillion, two hundred thirty-five billion, seven hundred ninety-three million, eight hundred fifty-six thousand".