12444420200200 has 48 divisors (see below), whose sum is σ = 29006156941380. Its totient is φ = 4965229589760.

The previous prime is 12444420200197. The next prime is 12444420200209. The reversal of 12444420200200 is 200202444421.

12444420200200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7103301700804 + 5341118499396 = 2665202^2 + 2311086^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12444420200209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78285967 + ... + 78444766.

Almost surely, 2^{12444420200200} is an apocalyptic number.

12444420200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12444420200200 is an abundant number, since it is smaller than the sum of its proper divisors (16561736741180).

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

12444420200200 is a wasteful number, since it uses less digits than its factorization.

12444420200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156731146 (or 156731137 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 12444420200200 its reverse (200202444421), we get a palindrome (12644622644621).

The spelling of 12444420200200 in words is "twelve trillion, four hundred forty-four billion, four hundred twenty million, two hundred thousand, two hundred".