12720444172800 has 960 divisors, whose sum is σ = 53387180335104. Its totient is φ = 2597275238400.

The previous prime is 12720444172781. The next prime is 12720444172819. The reversal of 12720444172800 is 827144402721.

It is an interprime number because it is at equal distance from previous prime (12720444172781) and next prime (12720444172819).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 108267687 + ... + 108385113.

Almost surely, 2^{12720444172800} is an apocalyptic number.

12720444172800 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 12720444172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26693590167552).

12720444172800 is an abundant number, since it is smaller than the sum of its proper divisors (40666736162304).

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

12720444172800 is a wasteful number, since it uses less digits than its factorization.

12720444172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117509 (or 117488 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The spelling of 12720444172800 in words is "twelve trillion, seven hundred twenty billion, four hundred forty-four million, one hundred seventy-two thousand, eight hundred".