12665143180800 has 4320 divisors, whose sum is σ = 58033952776800. Its totient is φ = 2615987404800.

The previous prime is 12665143180721. The next prime is 12665143180847. The reversal of 12665143180800 is 808134156621.

12665143180800 is a `hidden beast` number, since 1 + 2 + 6 + 65 + 1 + 431 + 80 + 80 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 130568486352 + ... + 130568486448.

It is an arithmetic number, because the mean of its divisors is an integer number (13433785365).

Almost surely, 2^{12665143180800} is an apocalyptic number.

12665143180800 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 12665143180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29016976388400).

12665143180800 is an abundant number, since it is smaller than the sum of its proper divisors (45368809596000).

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

12665143180800 is a wasteful number, since it uses less digits than its factorization.

12665143180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12665143180800 in words is "twelve trillion, six hundred sixty-five billion, one hundred forty-three million, one hundred eighty thousand, eight hundred".