12732419232 has 144 divisors (see below), whose sum is σ = 41045528160. Its totient is φ = 3711453696.

The previous prime is 12732419221. The next prime is 12732419233. The reversal of 12732419232 is 23291423721.

12732419232 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 2 + 419 + 232 = 666.

12732419232 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 (144).

It is a super-2 number, since 2×12732419232² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12732419233) 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 23 ways as a sum of consecutive naturals, for example, 18358 + ... + 160629.

It is an arithmetic number, because the mean of its divisors is an integer number (285038390).

Almost surely, 2^12732419232 is an apocalyptic number.

12732419232 is a gapful number since it is divisible by the number (12) 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 12732419232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20522764080).

12732419232 is an abundant number, since it is smaller than the sum of its proper divisors (28313108928).

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

12732419232 is a wasteful number, since it uses less digits than its factorization.

12732419232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179035 (or 179024 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The spelling of 12732419232 in words is "twelve billion, seven hundred thirty-two million, four hundred nineteen thousand, two hundred thirty-two".