12323064960 has 192 divisors, whose sum is σ = 43591799160. Its totient is φ = 3205939200.

The previous prime is 12323064953. The next prime is 12323064989. The reversal of 12323064960 is 6946032321.

12323064960 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 3 + 0 + 649 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3825175104 + 8497889856 = 61848^2 + 92184^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210070 + ... + 262250.

Almost surely, 2^12323064960 is an apocalyptic number.

12323064960 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 12323064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21795899580).

12323064960 is an abundant number, since it is smaller than the sum of its proper divisors (31268734200).

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

12323064960 is a wasteful number, since it uses less digits than its factorization.

12323064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52247 (or 52232 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 12323064960 in words is "twelve billion, three hundred twenty-three million, sixty-four thousand, nine hundred sixty".