12871650816000 has 832 divisors, whose sum is σ = 49661081533440. Its totient is φ = 3283122585600.

The previous prime is 12871650815999. The next prime is 12871650816047. The reversal of 12871650816000 is 61805617821.

12871650816000 is a `hidden beast` number, since 1 + 2 + 87 + 1 + 6 + 508 + 1 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317931759 + ... + 317972241.

It is an arithmetic number, because the mean of its divisors is an integer number (59688799920).

Almost surely, 2^{12871650816000} is an apocalyptic number.

12871650816000 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 12871650816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24830540766720).

12871650816000 is an abundant number, since it is smaller than the sum of its proper divisors (36789430717440).

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

12871650816000 is an equidigital number, since it uses as much as digits as its factorization.

12871650816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40554 (or 40516 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 12871650816000 in words is "twelve trillion, eight hundred seventy-one billion, six hundred fifty million, eight hundred sixteen thousand".