12441335104 has 112 divisors (see below), whose sum is σ = 27445167360. Its totient is φ = 5548400640.

The previous prime is 12441335089. The next prime is 12441335113. The reversal of 12441335104 is 40153314421.

12441335104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 11973817 + ... + 11974855.

Almost surely, 2^12441335104 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 12441335104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13722583680).

12441335104 is an abundant number, since it is smaller than the sum of its proper divisors (15003832256).

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

12441335104 is a wasteful number, since it uses less digits than its factorization.

12441335104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 12441335104 its reverse (40153314421), we get a palindrome (52594649525).

The spelling of 12441335104 in words is "twelve billion, four hundred forty-one million, three hundred thirty-five thousand, one hundred four".