12008653056 has 135 divisors (see below), whose sum is σ = 35854745773. Its totient is φ = 3997624320.

The previous prime is 12008653051. The next prime is 12008653099. The reversal of 12008653056 is 65035680021.

The square root of 12008653056 is 109584.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31539456 + 11977113600 = 5616^2 + 109440^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12008653056.

It is not an unprimeable number, because it can be changed into a prime (12008653051) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 15779716 + ... + 15780476.

Almost surely, 2^12008653056 is an apocalyptic number.

12008653056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12008653056 is the 109584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12008653056

12008653056 is an abundant number, since it is smaller than the sum of its proper divisors (23846092717).

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

12008653056 is an frugal number, since it uses more digits than its factorization.

12008653056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 12008653056 by its sum of digits (36), we get a square (432311510016 = 657504²).

12008653056 divided by its sum of digits (36) gives a square (333573696 = 18264²).

The spelling of 12008653056 in words is "twelve billion, eight million, six hundred fifty-three thousand, fifty-six".