12339312899760 has 4320 divisors, whose sum is σ = 61115870208960. Its totient is φ = 2271617187840.

The previous prime is 12339312899759. The next prime is 12339312899783. The reversal of 12339312899760 is 6799821393321.

12339312899760 is a `hidden beast` number, since 1 + 23 + 393 + 1 + 2 + 89 + 97 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 78594349602 + ... + 78594349758.

It is an arithmetic number, because the mean of its divisors is an integer number (14147192178).

Almost surely, 2^{12339312899760} is an apocalyptic number.

12339312899760 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 12339312899760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30557935104480).

12339312899760 is an abundant number, since it is smaller than the sum of its proper divisors (48776557309200).

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

12339312899760 is a wasteful number, since it uses less digits than its factorization.

12339312899760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 12339312899760 in words is "twelve trillion, three hundred thirty-nine billion, three hundred twelve million, eight hundred ninety-nine thousand, seven hundred sixty".