12323120882688 has 2376 divisors, whose sum is σ = 48611805619104. Its totient is φ = 3085118668800.

The previous prime is 12323120882623. The next prime is 12323120882717. The reversal of 12323120882688 is 88628802132321.

12323120882688 is a `hidden beast` number, since 12 + 323 + 1 + 208 + 8 + 26 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (2376).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 148471335895 + ... + 148471335977.

Almost surely, 2^{12323120882688} is an apocalyptic number.

12323120882688 is a gapful number since it is divisible by the number (18) 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 12323120882688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24305902809552).

12323120882688 is an abundant number, since it is smaller than the sum of its proper divisors (36288684736416).

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

12323120882688 is an frugal number, since it uses more digits than its factorization.

12323120882688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 12323120882688 in words is "twelve trillion, three hundred twenty-three billion, one hundred twenty million, eight hundred eighty-two thousand, six hundred eighty-eight".