12844741128 has 64 divisors (see below), whose sum is σ = 33296793600. Its totient is φ = 4124831040.

The previous prime is 12844741127. The next prime is 12844741157. The reversal of 12844741128 is 82114744821.

It is a happy number.

12844741128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12844741128.

It is not an unprimeable number, because it can be changed into a prime (12844741127) 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 15 ways as a sum of consecutive naturals, for example, 127203 + ... + 204621.

It is an arithmetic number, because the mean of its divisors is an integer number (520262400).

Almost surely, 2^12844741128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12844741128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16648396800).

12844741128 is an abundant number, since it is smaller than the sum of its proper divisors (20452052472).

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

12844741128 is a wasteful number, since it uses less digits than its factorization.

12844741128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77682 (or 77678 counting only the distinct ones).

The product of its digits is 114688, while the sum is 42.

The spelling of 12844741128 in words is "twelve billion, eight hundred forty-four million, seven hundred forty-one thousand, one hundred twenty-eight".