12682662220800 has 3168 divisors, whose sum is σ = 56578017525120. Its totient is φ = 2774178201600.

The previous prime is 12682662220793. The next prime is 12682662220819. The reversal of 12682662220800 is 802226628621.

12682662220800 is a `hidden beast` number, since 12 + 6 + 8 + 2 + 6 + 622 + 2 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 47147443066 + ... + 47147443334.

Almost surely, 2^{12682662220800} is an apocalyptic number.

12682662220800 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 12682662220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28289008762560).

12682662220800 is an abundant number, since it is smaller than the sum of its proper divisors (43895355304320).

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

12682662220800 is a wasteful number, since it uses less digits than its factorization.

12682662220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 12682662220800 in words is "twelve trillion, six hundred eighty-two billion, six hundred sixty-two million, two hundred twenty thousand, eight hundred".