12317961600 has 1152 divisors, whose sum is σ = 54509844480. Its totient is φ = 2687385600.

The previous prime is 12317961587. The next prime is 12317961629. The reversal of 12317961600 is 616971321.

12317961600 is a `hidden beast` number, since 1 + 2 + 31 + 7 + 9 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 168739164 + ... + 168739236.

Almost surely, 2^12317961600 is an apocalyptic number.

12317961600 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 12317961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27254922240).

12317961600 is an abundant number, since it is smaller than the sum of its proper divisors (42191882880).

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

12317961600 is an equidigital number, since it uses as much as digits as its factorization.

12317961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 12317961600 in words is "twelve billion, three hundred seventeen million, nine hundred sixty-one thousand, six hundred".