12132413244432 has 120 divisors (see below), whose sum is σ = 36591704986200. Its totient is φ = 3730399985664.

The previous prime is 12132413244409. The next prime is 12132413244493. The reversal of 12132413244432 is 23444231423121.

12132413244432 is a `hidden beast` number, since 1 + 2 + 1 + 324 + 1 + 324 + 4 + 4 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89403392016 + 12043009852416 = 299004^2 + 3470304^2 .

It is a super-2 number, since 2×12132413244432² (a number of 27 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337794 + ... + 4937502.

It is an arithmetic number, because the mean of its divisors is an integer number (304930874885).

Almost surely, 2^{12132413244432} is an apocalyptic number.

12132413244432 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 12132413244432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295852493100).

12132413244432 is an abundant number, since it is smaller than the sum of its proper divisors (24459291741768).

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

12132413244432 is a wasteful number, since it uses less digits than its factorization.

12132413244432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601145 (or 4601136 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 12132413244432 its reverse (23444231423121), we get a palindrome (35576644667553).

The spelling of 12132413244432 in words is "twelve trillion, one hundred thirty-two billion, four hundred thirteen million, two hundred forty-four thousand, four hundred thirty-two".