12182317056 has 576 divisors, whose sum is σ = 45075139200. Its totient is φ = 3200974848.

The previous prime is 12182317051. The next prime is 12182317111. The reversal of 12182317056 is 65071328121.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12182317056.

It is not an unprimeable number, because it can be changed into a prime (12182317051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45287290 + ... + 45287558.

It is an arithmetic number, because the mean of its divisors is an integer number (78255450).

Almost surely, 2^12182317056 is an apocalyptic number.

12182317056 is a gapful number since it is divisible by the number (16) 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 12182317056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22537569600).

12182317056 is an abundant number, since it is smaller than the sum of its proper divisors (32892822144).

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

12182317056 is an equidigital number, since it uses as much as digits as its factorization.

12182317056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 12182317056 in words is "twelve billion, one hundred eighty-two million, three hundred seventeen thousand, fifty-six".