12132744832 has 64 divisors (see below), whose sum is σ = 26386826760. Its totient is φ = 5522964480.

The previous prime is 12132744821. The next prime is 12132744847. The reversal of 12132744832 is 23844723121.

12132744832 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 4 ways, for example, as 11755763776 + 376981056 = 108424^2 + 19416^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12132744791 and 12132744800.

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, 71532 + ... + 171412.

Almost surely, 2^12132744832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132744832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13193413380).

12132744832 is an abundant number, since it is smaller than the sum of its proper divisors (14254081928).

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

12132744832 is an equidigital number, since it uses as much as digits as its factorization.

12132744832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99981 (or 99969 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The spelling of 12132744832 in words is "twelve billion, one hundred thirty-two million, seven hundred forty-four thousand, eight hundred thirty-two".