12096122385600 has 504 divisors, whose sum is σ = 48467909678160. Its totient is φ = 2932392038400.

The previous prime is 12096122385563. The next prime is 12096122385649. The reversal of 12096122385600 is 658322169021.

12096122385600 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 6 + 1 + 2 + 2 + 38 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4070164 + ... + 6384236.

Almost surely, 2^{12096122385600} is an apocalyptic number.

12096122385600 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 12096122385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24233954839080).

12096122385600 is an abundant number, since it is smaller than the sum of its proper divisors (36371787292560).

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

12096122385600 is a wasteful number, since it uses less digits than its factorization.

12096122385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314126 (or 2314094 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12096122385600 in words is "twelve trillion, ninety-six billion, one hundred twenty-two million, three hundred eighty-five thousand, six hundred".