12317640192 has 800 divisors, whose sum is σ = 45251103744. Its totient is φ = 3284582400.

The previous prime is 12317640191. The next prime is 12317640193. The reversal of 12317640192 is 29104671321.

12317640192 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 7 + 640 + 1 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12317640191) and next prime (12317640193).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12317640191) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 183845343 + ... + 183845409.

Almost surely, 2^12317640192 is an apocalyptic number.

12317640192 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 12317640192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22625551872).

12317640192 is an abundant number, since it is smaller than the sum of its proper divisors (32933463552).

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

12317640192 is a wasteful number, since it uses less digits than its factorization.

12317640192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 12317640192 in words is "twelve billion, three hundred seventeen million, six hundred forty thousand, one hundred ninety-two".