12882251612160 has 1440 divisors, whose sum is σ = 53493833764800. Its totient is φ = 2916995825664.

The previous prime is 12882251612029. The next prime is 12882251612171. The reversal of 12882251612160 is 6121615228821.

12882251612160 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 2 + 2 + 516 + 121 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120394874827 + ... + 120394874933.

It is an arithmetic number, because the mean of its divisors is an integer number (37148495670).

Almost surely, 2^{12882251612160} is an apocalyptic number.

12882251612160 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 12882251612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26746916882400).

12882251612160 is an abundant number, since it is smaller than the sum of its proper divisors (40611582152640).

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

12882251612160 is an frugal number, since it uses more digits than its factorization.

12882251612160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 12882251612160 in words is "twelve trillion, eight hundred eighty-two billion, two hundred fifty-one million, six hundred twelve thousand, one hundred sixty".