12443420128320 has 336 divisors, whose sum is σ = 44396975488320. Its totient is φ = 3317377959936.

The previous prime is 12443420128301. The next prime is 12443420128343. The reversal of 12443420128320 is 2382102434421.

12443420128320 is a `hidden beast` number, since 1 + 2 + 443 + 4 + 201 + 2 + 8 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 331161054 + ... + 331198626.

It is an arithmetic number, because the mean of its divisors is an integer number (132133855620).

Almost surely, 2^{12443420128320} is an apocalyptic number.

12443420128320 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 12443420128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22198487744160).

12443420128320 is an abundant number, since it is smaller than the sum of its proper divisors (31953555360000).

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

12443420128320 is an equidigital number, since it uses as much as digits as its factorization.

12443420128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41864 (or 41842 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 12443420128320 in words is "twelve trillion, four hundred forty-three billion, four hundred twenty million, one hundred twenty-eight thousand, three hundred twenty".