12441202200 has 288 divisors, whose sum is σ = 48426543360. Its totient is φ = 2803449600.

The previous prime is 12441202199. The next prime is 12441202201. The reversal of 12441202200 is 220214421.

12441202200 is a `hidden beast` number, since 1 + 2 + 441 + 2 + 0 + 220 + 0 = 666.

12441202200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12441202199) and next prime (12441202201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12441202201) 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 71 ways as a sum of consecutive naturals, for example, 887647 + ... + 901553.

It is an arithmetic number, because the mean of its divisors is an integer number (168147720).

Almost surely, 2^12441202200 is an apocalyptic number.

12441202200 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 12441202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24213271680).

12441202200 is an abundant number, since it is smaller than the sum of its proper divisors (35985341160).

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

12441202200 is a wasteful number, since it uses less digits than its factorization.

12441202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14007 (or 13995 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12441202200 its reverse (220214421), we get a palindrome (12661416621).

The spelling of 12441202200 in words is "twelve billion, four hundred forty-one million, two hundred two thousand, two hundred".