12324401200 has 60 divisors (see below), whose sum is σ = 29727581688. Its totient is φ = 4910080000.

The previous prime is 12324401153. The next prime is 12324401203. The reversal of 12324401200 is 210442321.

12324401200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12324401200² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12324401203) 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 11 ways as a sum of consecutive naturals, for example, 39024 + ... + 161776.

Almost surely, 2^12324401200 is an apocalyptic number.

12324401200 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 12324401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14863790844).

12324401200 is an abundant number, since it is smaller than the sum of its proper divisors (17403180488).

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

12324401200 is a wasteful number, since it uses less digits than its factorization.

12324401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123022 (or 123011 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 12324401200 its reverse (210442321), we get a palindrome (12534843521).

The spelling of 12324401200 in words is "twelve billion, three hundred twenty-four million, four hundred one thousand, two hundred".