12965208883200 has 1920 divisors, whose sum is σ = 55630453232640. Its totient is φ = 2923875532800.

The previous prime is 12965208883183. The next prime is 12965208883201. The reversal of 12965208883200 is 238880256921.

It is a happy number.

12965208883200 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 520 + 8 + 88 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12965208883201) 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 119 ways as a sum of consecutive naturals, for example, 47842099065 + ... + 47842099335.

It is an arithmetic number, because the mean of its divisors is an integer number (28974194392).

Almost surely, 2^{12965208883200} is an apocalyptic number.

12965208883200 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 12965208883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27815226616320).

12965208883200 is an abundant number, since it is smaller than the sum of its proper divisors (42665244349440).

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

12965208883200 is an equidigital number, since it uses as much as digits as its factorization.

12965208883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 12965208883200 in words is "twelve trillion, nine hundred sixty-five billion, two hundred eight million, eight hundred eighty-three thousand, two hundred".