12324885193152 has 1008 divisors, whose sum is σ = 45016387488000. Its totient is φ = 3296297410560.

The previous prime is 12324885193129. The next prime is 12324885193157. The reversal of 12324885193152 is 25139158842321.

12324885193152 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 48 + 8 + 519 + 31 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12324885193157) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4869570127 + ... + 4869572657.

Almost surely, 2^{12324885193152} is an apocalyptic number.

12324885193152 is a gapful number since it is divisible by the number (12) 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 12324885193152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22508193744000).

12324885193152 is an abundant number, since it is smaller than the sum of its proper divisors (32691502294848).

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

12324885193152 is a wasteful number, since it uses less digits than its factorization.

12324885193152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2759 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 12324885193152 in words is "twelve trillion, three hundred twenty-four billion, eight hundred eighty-five million, one hundred ninety-three thousand, one hundred fifty-two".