12648319900800 has 384 divisors, whose sum is σ = 42491613696000. Its totient is φ = 3306204794880.

The previous prime is 12648319900793. The next prime is 12648319900841. The reversal of 12648319900800 is 800991384621.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 105357609 + ... + 105477591.

It is an arithmetic number, because the mean of its divisors is an integer number (110655244000).

Almost surely, 2^{12648319900800} is an apocalyptic number.

12648319900800 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 12648319900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21245806848000).

12648319900800 is an abundant number, since it is smaller than the sum of its proper divisors (29843293795200).

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

12648319900800 is a wasteful number, since it uses less digits than its factorization.

12648319900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120228 (or 120211 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 12648319900800 in words is "twelve trillion, six hundred forty-eight billion, three hundred nineteen million, nine hundred thousand, eight hundred".