12444113200 has 120 divisors (see below), whose sum is σ = 31637903616. Its totient is φ = 4693920000.

The previous prime is 12444113189. The next prime is 12444113221. The reversal of 12444113200 is 231144421.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643675 + ... + 662725.

Almost surely, 2^12444113200 is an apocalyptic number.

12444113200 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 12444113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15818951808).

12444113200 is an abundant number, since it is smaller than the sum of its proper divisors (19193790416).

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

12444113200 is a wasteful number, since it uses less digits than its factorization.

12444113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19163 (or 19152 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12444113200 its reverse (231144421), we get a palindrome (12675257621).

It can be divided in two parts, 124441 and 13200, that added together give a square (137641 = 371²).

The spelling of 12444113200 in words is "twelve billion, four hundred forty-four million, one hundred thirteen thousand, two hundred".