12866813971200 has 2160 divisors, whose sum is σ = 58576706850816. Its totient is φ = 2721823948800.

The previous prime is 12866813971199. The next prime is 12866813971243. The reversal of 12866813971200 is 217931866821.

12866813971200 is a `hidden beast` number, since 1 + 286 + 68 + 1 + 39 + 71 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 2587331914 + ... + 2587336886.

Almost surely, 2^{12866813971200} is an apocalyptic number.

12866813971200 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 12866813971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29288353425408).

12866813971200 is an abundant number, since it is smaller than the sum of its proper divisors (45709892879616).

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

12866813971200 is a wasteful number, since it uses less digits than its factorization.

12866813971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 12866813971200 in words is "twelve trillion, eight hundred sixty-six billion, eight hundred thirteen million, nine hundred seventy-one thousand, two hundred".