12329223852960 has 576 divisors, whose sum is σ = 50322457785600. Its totient is φ = 2792247386112.

The previous prime is 12329223852937. The next prime is 12329223853013. The reversal of 12329223852960 is 6925832292321.

It is a happy number.

12329223852960 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 9 + 22 + 38 + 529 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12329223852897 and 12329223852906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29457636 + ... + 29873244.

It is an arithmetic number, because the mean of its divisors is an integer number (87365378100).

Almost surely, 2^{12329223852960} is an apocalyptic number.

12329223852960 is a gapful number since it is divisible by the number (10) 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 12329223852960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25161228892800).

12329223852960 is an abundant number, since it is smaller than the sum of its proper divisors (37993233932640).

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

12329223852960 is a wasteful number, since it uses less digits than its factorization.

12329223852960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415755 (or 415735 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 12329223852960 in words is "twelve trillion, three hundred twenty-nine billion, two hundred twenty-three million, eight hundred fifty-two thousand, nine hundred sixty".