12200830721856 has 1260 divisors, whose sum is σ = 43892959781088. Its totient is φ = 3341036160000.

The previous prime is 12200830721831. The next prime is 12200830721869. The reversal of 12200830721856 is 65812703800221.

12200830721856 is a `hidden beast` number, since 122 + 0 + 0 + 8 + 307 + 218 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 36860515611 + ... + 36860515941.

Almost surely, 2^{12200830721856} is an apocalyptic number.

12200830721856 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 12200830721856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21946479890544).

12200830721856 is an abundant number, since it is smaller than the sum of its proper divisors (31692129059232).

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

12200830721856 is a wasteful number, since it uses less digits than its factorization.

12200830721856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12200830721856 in words is "twelve trillion, two hundred billion, eight hundred thirty million, seven hundred twenty-one thousand, eight hundred fifty-six".