12076081920 has 864 divisors, whose sum is σ = 52895711232. Its totient is φ = 2478440448.

The previous prime is 12076081907. The next prime is 12076081949. The reversal of 12076081920 is 2918067021.

12076081920 is a `hidden beast` number, since 1 + 20 + 7 + 608 + 1 + 9 + 20 = 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 95 ways as a sum of consecutive naturals, for example, 31530049 + ... + 31530431.

It is an arithmetic number, because the mean of its divisors is an integer number (61221888).

Almost surely, 2^12076081920 is an apocalyptic number.

12076081920 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 12076081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26447855616).

12076081920 is an abundant number, since it is smaller than the sum of its proper divisors (40819629312).

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

12076081920 is a wasteful number, since it uses less digits than its factorization.

12076081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12076081920 in words is "twelve billion, seventy-six million, eighty-one thousand, nine hundred twenty".