12324132346752 has 128 divisors (see below), whose sum is σ = 36377652096000. Its totient is φ = 4107553408512.

The previous prime is 12324132346751. The next prime is 12324132346763. The reversal of 12324132346752 is 25764323142321.

12324132346752 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 4 + 132 + 3 + 467 + 52 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12324132346698 and 12324132346707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12324132346751) 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, 29315899 + ... + 29733317.

It is an arithmetic number, because the mean of its divisors is an integer number (284200407000).

Almost surely, 2^{12324132346752} is an apocalyptic number.

12324132346752 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 12324132346752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18188826048000).

12324132346752 is an abundant number, since it is smaller than the sum of its proper divisors (24053519749248).

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

12324132346752 is an equidigital number, since it uses as much as digits as its factorization.

12324132346752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425985 (or 425967 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 12324132346752 in words is "twelve trillion, three hundred twenty-four billion, one hundred thirty-two million, three hundred forty-six thousand, seven hundred fifty-two".