12000908736 has 168 divisors, whose sum is σ = 36492515280. Its totient is φ = 3757694976.

The previous prime is 12000908729. The next prime is 12000908771. The reversal of 12000908736 is 63780900021.

12000908736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12000908736² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12000908736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7411735 + ... + 7413353.

Almost surely, 2^12000908736 is an apocalyptic number.

12000908736 is a gapful number since it is divisible by the number (16) 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 12000908736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18246257640).

12000908736 is an abundant number, since it is smaller than the sum of its proper divisors (24491606544).

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

12000908736 is a wasteful number, since it uses less digits than its factorization.

12000908736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 12000908736 in words is "twelve billion, nine hundred eight thousand, seven hundred thirty-six".