12081564720 has 400 divisors, whose sum is σ = 43751664000. Its totient is φ = 3086125056.

The previous prime is 12081564707. The next prime is 12081564757. The reversal of 12081564720 is 2746518021.

12081564720 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 1 + 5 + 647 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44912746 + ... + 44913014.

It is an arithmetic number, because the mean of its divisors is an integer number (109379160).

Almost surely, 2^12081564720 is an apocalyptic number.

12081564720 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 12081564720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21875832000).

12081564720 is an abundant number, since it is smaller than the sum of its proper divisors (31670099280).

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

12081564720 is a wasteful number, since it uses less digits than its factorization.

12081564720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12081564720 in words is "twelve billion, eighty-one million, five hundred sixty-four thousand, seven hundred twenty".