12305656000 has 112 divisors (see below), whose sum is σ = 33245645472. Its totient is φ = 4474752000.

The previous prime is 12305655979. The next prime is 12305656007. The reversal of 12305656000 is 65650321.

12305656000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12305656000.

It is not an unprimeable number, because it can be changed into a prime (12305656007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18082 + ... + 157918.

Almost surely, 2^12305656000 is an apocalyptic number.

12305656000 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 12305656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16622822736).

12305656000 is an abundant number, since it is smaller than the sum of its proper divisors (20939989472).

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

12305656000 is a wasteful number, since it uses less digits than its factorization.

12305656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139875 (or 139855 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The spelling of 12305656000 in words is "twelve billion, three hundred five million, six hundred fifty-six thousand".