12444341120 has 64 divisors (see below), whose sum is σ = 29891071440. Its totient is φ = 4954091520.

The previous prime is 12444341101. The next prime is 12444341141. The reversal of 12444341120 is 2114344421.

12444341120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 12444341120.

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 7 ways as a sum of consecutive naturals, for example, 88964 + ... + 181116.

Almost surely, 2^12444341120 is an apocalyptic number.

12444341120 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 12444341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14945535720).

12444341120 is an abundant number, since it is smaller than the sum of its proper divisors (17446730320).

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

12444341120 is an equidigital number, since it uses as much as digits as its factorization.

12444341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92383 (or 92371 counting only the distinct ones).

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

Adding to 12444341120 its reverse (2114344421), we get a palindrome (14558685541).

The spelling of 12444341120 in words is "twelve billion, four hundred forty-four million, three hundred forty-one thousand, one hundred twenty".