12075884960 has 24 divisors (see below), whose sum is σ = 28529278596. Its totient is φ = 4830353920.

The previous prime is 12075884959. The next prime is 12075884969. The reversal of 12075884960 is 6948857021.

12075884960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11177564176 + 898320784 = 105724^2 + 29972^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12075884899 and 12075884908.

It is not an unprimeable number, because it can be changed into a prime (12075884969) 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 3 ways as a sum of consecutive naturals, for example, 37736981 + ... + 37737300.

Almost surely, 2^12075884960 is an apocalyptic number.

12075884960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12075884960 is an abundant number, since it is smaller than the sum of its proper divisors (16453393636).

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

12075884960 is an equidigital number, since it uses as much as digits as its factorization.

12075884960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75474296 (or 75474288 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 50.

The spelling of 12075884960 in words is "twelve billion, seventy-five million, eight hundred eighty-four thousand, nine hundred sixty".