12441021344 has 48 divisors (see below), whose sum is σ = 25599256200. Its totient is φ = 5944049664.

The previous prime is 12441021331. The next prime is 12441021349. The reversal of 12441021344 is 44312014421.

12441021344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9545290000 + 2895731344 = 97700^2 + 53812^2 .

It is not an unprimeable number, because it can be changed into a prime (12441021349) 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 7 ways as a sum of consecutive naturals, for example, 20912 + ... + 159120.

Almost surely, 2^12441021344 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 12441021344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12799628100).

12441021344 is an abundant number, since it is smaller than the sum of its proper divisors (13158234856).

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

12441021344 is a wasteful number, since it uses less digits than its factorization.

12441021344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138345 (or 138337 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 12441021344 its reverse (44312014421), we get a palindrome (56753035765).

The spelling of 12441021344 in words is "twelve billion, four hundred forty-one million, twenty-one thousand, three hundred forty-four".