12045661056 has 192 divisors, whose sum is σ = 40723104240. Its totient is φ = 3369369600.

The previous prime is 12045661037. The next prime is 12045661063. The reversal of 12045661056 is 65016654021.

12045661056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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 12045661056.

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, 128176 + ... + 201296.

Almost surely, 2^12045661056 is an apocalyptic number.

12045661056 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 12045661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20361552120).

12045661056 is an abundant number, since it is smaller than the sum of its proper divisors (28677443184).

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

12045661056 is a wasteful number, since it uses less digits than its factorization.

12045661056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73165 (or 73150 counting only the distinct ones).

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

The spelling of 12045661056 in words is "twelve billion, forty-five million, six hundred sixty-one thousand, fifty-six".