12132382146432 has 128 divisors (see below), whose sum is σ = 32446294917120. Its totient is φ = 4016573184000.

The previous prime is 12132382146397. The next prime is 12132382146439. The reversal of 12132382146432 is 23464128323121.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132382146439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356178682 + ... + 356212742.

It is an arithmetic number, because the mean of its divisors is an integer number (253486679040).

Almost surely, 2^{12132382146432} is an apocalyptic number.

12132382146432 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 12132382146432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16223147458560).

12132382146432 is an abundant number, since it is smaller than the sum of its proper divisors (20313912770688).

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

12132382146432 is a wasteful number, since it uses less digits than its factorization.

12132382146432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40372 (or 40360 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The spelling of 12132382146432 in words is "twelve trillion, one hundred thirty-two billion, three hundred eighty-two million, one hundred forty-six thousand, four hundred thirty-two".