12323144400 has 240 divisors, whose sum is σ = 45208023168. Its totient is φ = 2810880000.

The previous prime is 12323144389. The next prime is 12323144413. The reversal of 12323144400 is 444132321.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5047180 + ... + 5049620.

Almost surely, 2^12323144400 is an apocalyptic number.

12323144400 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 12323144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22604011584).

12323144400 is an abundant number, since it is smaller than the sum of its proper divisors (32884878768).

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

12323144400 is a wasteful number, since it uses less digits than its factorization.

12323144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12323144400 its reverse (444132321), we get a palindrome (12767276721).

The spelling of 12323144400 in words is "twelve billion, three hundred twenty-three million, one hundred forty-four thousand, four hundred".