12267585056 has 48 divisors (see below), whose sum is σ = 24683170176. Its totient is φ = 5999030016.

The previous prime is 12267585047. The next prime is 12267585079. The reversal of 12267585056 is 65058576221.

12267585056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a self number, because there is not a number n which added to its sum of digits gives 12267585056.

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 7 ways as a sum of consecutive naturals, for example, 3663575 + ... + 3666921.

It is an arithmetic number, because the mean of its divisors is an integer number (514232712).

Almost surely, 2^12267585056 is an apocalyptic number.

12267585056 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 12267585056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12341585088).

12267585056 is an abundant number, since it is smaller than the sum of its proper divisors (12415585120).

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

12267585056 is a wasteful number, since it uses less digits than its factorization.

12267585056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841 (or 5833 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 47.

The spelling of 12267585056 in words is "twelve billion, two hundred sixty-seven million, five hundred eighty-five thousand, fifty-six".