12851008323972 has 384 divisors, whose sum is σ = 41727878922240. Its totient is φ = 2980555038720.

The previous prime is 12851008323949. The next prime is 12851008323991. The reversal of 12851008323972 is 27932380015821.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 16304023 + ... + 17074049.

It is an arithmetic number, because the mean of its divisors is an integer number (108666351360).

Almost surely, 2^{12851008323972} is an apocalyptic number.

12851008323972 is a gapful number since it is divisible by the number (12) 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 12851008323972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20863939461120).

12851008323972 is an abundant number, since it is smaller than the sum of its proper divisors (28876870598268).

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

12851008323972 is a wasteful number, since it uses less digits than its factorization.

12851008323972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770131 (or 770129 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 12851008323972 in words is "twelve trillion, eight hundred fifty-one billion, eight million, three hundred twenty-three thousand, nine hundred seventy-two".