12080682320256 has 640 divisors, whose sum is σ = 40121444689920. Its totient is φ = 3576960000000.

The previous prime is 12080682320171. The next prime is 12080682320279. The reversal of 12080682320256 is 65202328608021.

12080682320256 is a `hidden beast` number, since 12 + 0 + 8 + 0 + 68 + 2 + 320 + 256 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4025550756 + ... + 4025553756.

It is an arithmetic number, because the mean of its divisors is an integer number (62689757328).

Almost surely, 2^{12080682320256} is an apocalyptic number.

12080682320256 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 12080682320256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20060722344960).

12080682320256 is an abundant number, since it is smaller than the sum of its proper divisors (28040762369664).

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

12080682320256 is a wasteful number, since it uses less digits than its factorization.

12080682320256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3836 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 12080682320256 in words is "twelve trillion, eighty billion, six hundred eighty-two million, three hundred twenty thousand, two hundred fifty-six".