12983820847200 has 288 divisors, whose sum is σ = 53666460126720. Its totient is φ = 2967730444800.

The previous prime is 12983820847157. The next prime is 12983820847213. The reversal of 12983820847200 is 274802838921.

12983820847200 is a `hidden beast` number, since 1 + 2 + 98 + 3 + 82 + 0 + 8 + 472 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 42784716 + ... + 43087115.

It is an arithmetic number, because the mean of its divisors is an integer number (186341875440).

Almost surely, 2^{12983820847200} is an apocalyptic number.

12983820847200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12983820847200 is an abundant number, since it is smaller than the sum of its proper divisors (40682639279520).

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

12983820847200 is a wasteful number, since it uses less digits than its factorization.

12983820847200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85871867 (or 85871848 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 12983820847200 in words is "twelve trillion, nine hundred eighty-three billion, eight hundred twenty million, eight hundred forty-seven thousand, two hundred".