12325859683200 has 2016 divisors, whose sum is σ = 56238350135760. Its totient is φ = 2651195473920.

The previous prime is 12325859683177. The next prime is 12325859683211. The reversal of 12325859683200 is 238695852321.

It is a happy number.

12325859683200 is a `hidden beast` number, since 1 + 2 + 3 + 25 + 8 + 596 + 8 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1943219229 + ... + 1943225571.

Almost surely, 2^{12325859683200} is an apocalyptic number.

12325859683200 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 12325859683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28119175067880).

12325859683200 is an abundant number, since it is smaller than the sum of its proper divisors (43912490452560).

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

12325859683200 is an equidigital number, since it uses as much as digits as its factorization.

12325859683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6416 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 12325859683200 in words is "twelve trillion, three hundred twenty-five billion, eight hundred fifty-nine million, six hundred eighty-three thousand, two hundred".