12286186688160 has 5184 divisors, whose sum is σ = 61154580614400. Its totient is φ = 2225633034240.

The previous prime is 12286186688099. The next prime is 12286186688177. The reversal of 12286186688160 is 6188668168221.

12286186688160 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 618 + 6 + 6 + 8 + 8 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 138047041396 + ... + 138047041484.

It is an arithmetic number, because the mean of its divisors is an integer number (11796794100).

Almost surely, 2^{12286186688160} is an apocalyptic number.

12286186688160 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 12286186688160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30577290307200).

12286186688160 is an abundant number, since it is smaller than the sum of its proper divisors (48868393926240).

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

12286186688160 is a wasteful number, since it uses less digits than its factorization.

12286186688160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 12286186688160 in words is "twelve trillion, two hundred eighty-six billion, one hundred eighty-six million, six hundred eighty-eight thousand, one hundred sixty".