12322887936960 has 224 divisors, whose sum is σ = 40490879607360. Its totient is φ = 3171490889728.

The previous prime is 12322887936943. The next prime is 12322887936977. The reversal of 12322887936960 is 6963978822321.

12322887936960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12322887936943) and next prime (12322887936977).

It is a junction number, because it is equal to n+sod(n) for n = 12322887936891 and 12322887936900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68870332 + ... + 69049028.

It is an arithmetic number, because the mean of its divisors is an integer number (180762855390).

Almost surely, 2^{12322887936960} is an apocalyptic number.

12322887936960 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 12322887936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20245439803680).

12322887936960 is an abundant number, since it is smaller than the sum of its proper divisors (28167991670400).

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

12322887936960 is a wasteful number, since it uses less digits than its factorization.

12322887936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181223 (or 181213 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 12322887936960 in words is "twelve trillion, three hundred twenty-two billion, eight hundred eighty-seven million, nine hundred thirty-six thousand, nine hundred sixty".