12430005200 has 120 divisors (see below), whose sum is σ = 32028976800. Its totient is φ = 4621294080.

The previous prime is 12430005169. The next prime is 12430005251. The reversal of 12430005200 is 250003421.

12430005200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 387371 + ... + 418229.

It is an arithmetic number, because the mean of its divisors is an integer number (266908140).

Almost surely, 2^12430005200 is an apocalyptic number.

12430005200 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 12430005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16014488400).

12430005200 is an abundant number, since it is smaller than the sum of its proper divisors (19598971600).

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

12430005200 is a wasteful number, since it uses less digits than its factorization.

12430005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30949 (or 30938 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 12430005200 its reverse (250003421), we get a palindrome (12680008621).

The spelling of 12430005200 in words is "twelve billion, four hundred thirty million, five thousand, two hundred".