12075792000 has 256 divisors, whose sum is σ = 42141340800. Its totient is φ = 3050496000.

The previous prime is 12075791957. The next prime is 12075792011. The reversal of 12075792000 is 29757021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 905380 + ... + 918620.

Almost surely, 2^12075792000 is an apocalyptic number.

12075792000 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 12075792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21070670400).

12075792000 is an abundant number, since it is smaller than the sum of its proper divisors (30065548800).

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

12075792000 is a wasteful number, since it uses less digits than its factorization.

12075792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13292 (or 13270 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The spelling of 12075792000 in words is "twelve billion, seventy-five million, seven hundred ninety-two thousand".