12444124400 has 120 divisors (see below), whose sum is σ = 30919275504. Its totient is φ = 4810291200.

The previous prime is 12444124397. The next prime is 12444124409. The reversal of 12444124400 is 442144421.

12444124400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12444124400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12444124409) 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 23 ways as a sum of consecutive naturals, for example, 1416020 + ... + 1424780.

Almost surely, 2^12444124400 is an apocalyptic number.

12444124400 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 12444124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15459637752).

12444124400 is an abundant number, since it is smaller than the sum of its proper divisors (18475151104).

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

12444124400 is a wasteful number, since it uses less digits than its factorization.

12444124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8899 (or 8888 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 12444124400 its reverse (442144421), we get a palindrome (12886268821).

It can be divided in two parts, 124441 and 24400, that added together give a palindrome (148841).

The spelling of 12444124400 in words is "twelve billion, four hundred forty-four million, one hundred twenty-four thousand, four hundred".