12682081152000 has 2112 divisors, whose sum is σ = 51776541573120. Its totient is φ = 2963423232000.

The previous prime is 12682081151981. The next prime is 12682081152001. The reversal of 12682081152000 is 25118028621.

12682081152000 is a `hidden beast` number, since 126 + 8 + 2 + 0 + 8 + 1 + 1 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12682081152001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27391103769 + ... + 27391104231.

Almost surely, 2^{12682081152000} is an apocalyptic number.

12682081152000 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 12682081152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25888270786560).

12682081152000 is an abundant number, since it is smaller than the sum of its proper divisors (39094460421120).

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

12682081152000 is a wasteful number, since it uses less digits than its factorization.

12682081152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 12682081152000 in words is "twelve trillion, six hundred eighty-two billion, eighty-one million, one hundred fifty-two thousand".