12384605109024 has 192 divisors, whose sum is σ = 36399297110400. Its totient is φ = 4096561775616.

The previous prime is 12384605109017. The next prime is 12384605109073. The reversal of 12384605109024 is 42090150648321.

12384605109024 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 4 + 605 + 10 + 9 + 0 + 24 = 666.

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 31 ways as a sum of consecutive naturals, for example, 91895962 + ... + 92030630.

It is an arithmetic number, because the mean of its divisors is an integer number (189579672450).

Almost surely, 2^{12384605109024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12384605109024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18199648555200).

12384605109024 is an abundant number, since it is smaller than the sum of its proper divisors (24014692001376).

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

12384605109024 is a wasteful number, since it uses less digits than its factorization.

12384605109024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135504 (or 135490 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 12384605109024 in words is "twelve trillion, three hundred eighty-four billion, six hundred five million, one hundred nine thousand, twenty-four".