12412314200 has 192 divisors, whose sum is σ = 34247495520. Its totient is φ = 4124160000.

The previous prime is 12412314197. The next prime is 12412314209. The reversal of 12412314200 is 241321421.

12412314200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12412314209) 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 47 ways as a sum of consecutive naturals, for example, 2886452 + ... + 2890748.

Almost surely, 2^12412314200 is an apocalyptic number.

12412314200 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 12412314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17123747760).

12412314200 is an abundant number, since it is smaller than the sum of its proper divisors (21835181320).

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

12412314200 is a wasteful number, since it uses less digits than its factorization.

12412314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4438 (or 4429 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12412314200 its reverse (241321421), we get a palindrome (12653635621).

The spelling of 12412314200 in words is "twelve billion, four hundred twelve million, three hundred fourteen thousand, two hundred".