12412313200 has 240 divisors, whose sum is σ = 36400527360. Its totient is φ = 3975552000.

The previous prime is 12412313191. The next prime is 12412313213. The reversal of 12412313200 is 231321421.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2514735 + ... + 2519665.

It is an arithmetic number, because the mean of its divisors is an integer number (151668864).

Almost surely, 2^12412313200 is an apocalyptic number.

12412313200 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 12412313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18200263680).

12412313200 is an abundant number, since it is smaller than the sum of its proper divisors (23988214160).

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

12412313200 is a wasteful number, since it uses less digits than its factorization.

12412313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5016 (or 5005 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12412313200 its reverse (231321421), we get a palindrome (12643634621).

The spelling of 12412313200 in words is "twelve billion, four hundred twelve million, three hundred thirteen thousand, two hundred".