12244143402400 has 432 divisors, whose sum is σ = 37694109922560. Its totient is φ = 3849382656000.

The previous prime is 12244143402377. The next prime is 12244143402409. The reversal of 12244143402400 is 420434144221.

It is a happy number.

12244143402400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12244143402409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76870041 + ... + 77029159.

It is an arithmetic number, because the mean of its divisors is an integer number (87254884080).

Almost surely, 2^{12244143402400} is an apocalyptic number.

12244143402400 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 12244143402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18847054961280).

12244143402400 is an abundant number, since it is smaller than the sum of its proper divisors (25449966520160).

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

12244143402400 is a wasteful number, since it uses less digits than its factorization.

12244143402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159317 (or 159297 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 12244143402400 its reverse (420434144221), we get a palindrome (12664577546621).

The spelling of 12244143402400 in words is "twelve trillion, two hundred forty-four billion, one hundred forty-three million, four hundred two thousand, four hundred".