12317208883200 has 2808 divisors, whose sum is σ = 51757408095120. Its totient is φ = 2898395136000.

The previous prime is 12317208883129. The next prime is 12317208883201. The reversal of 12317208883200 is 238880271321.

12317208883200 is a `hidden beast` number, since 1 + 2 + 317 + 2 + 0 + 8 + 8 + 8 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2808).

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

It is not an unprimeable number, because it can be changed into a prime (12317208883201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 121952563150 + ... + 121952563250.

It is an arithmetic number, because the mean of its divisors is an integer number (18432125390).

Almost surely, 2^{12317208883200} is an apocalyptic number.

12317208883200 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 12317208883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25878704047560).

12317208883200 is an abundant number, since it is smaller than the sum of its proper divisors (39440199211920).

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

12317208883200 is a wasteful number, since it uses less digits than its factorization.

12317208883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 12317208883200 in words is "twelve trillion, three hundred seventeen billion, two hundred eight million, eight hundred eighty-three thousand, two hundred".