12444221400 has 192 divisors, whose sum is σ = 41614003200. Its totient is φ = 3058076160.

The previous prime is 12444221393. The next prime is 12444221417. The reversal of 12444221400 is 412244421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7073721 + ... + 7075479.

It is an arithmetic number, because the mean of its divisors is an integer number (216739600).

Almost surely, 2^12444221400 is an apocalyptic number.

12444221400 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 12444221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20807001600).

12444221400 is an abundant number, since it is smaller than the sum of its proper divisors (29169781800).

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

12444221400 is a wasteful number, since it uses less digits than its factorization.

12444221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12444221400 its reverse (412244421), we get a palindrome (12856465821).

The spelling of 12444221400 in words is "twelve billion, four hundred forty-four million, two hundred twenty-one thousand, four hundred".