12182002560 has 1024 divisors, whose sum is σ = 54396518400. Its totient is φ = 2508226560.

The previous prime is 12182002529. The next prime is 12182002577. The reversal of 12182002560 is 6520028121.

It is a happy number.

12182002560 is a `hidden beast` number, since 1 + 21 + 82 + 0 + 0 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95921217 + ... + 95921343.

It is an arithmetic number, because the mean of its divisors is an integer number (53121600).

Almost surely, 2^12182002560 is an apocalyptic number.

12182002560 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 12182002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27198259200).

12182002560 is an abundant number, since it is smaller than the sum of its proper divisors (42214515840).

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

12182002560 is a wasteful number, since it uses less digits than its factorization.

12182002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 12182002560 in words is "twelve billion, one hundred eighty-two million, two thousand, five hundred sixty".