12442200300 has 432 divisors, whose sum is σ = 42084806400. Its totient is φ = 3068928000.

The previous prime is 12442200289. The next prime is 12442200301. The reversal of 12442200300 is 300224421.

12442200300 is a `hidden beast` number, since 124 + 42 + 200 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12442200301) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 83504626 + ... + 83504774.

Almost surely, 2^12442200300 is an apocalyptic number.

12442200300 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 12442200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21042403200).

12442200300 is an abundant number, since it is smaller than the sum of its proper divisors (29642606100).

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

12442200300 is a wasteful number, since it uses less digits than its factorization.

12442200300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12442200300 its reverse (300224421), we get a palindrome (12742424721).

The spelling of 12442200300 in words is "twelve billion, four hundred forty-two million, two hundred thousand, three hundred".