12102244200 has 144 divisors (see below), whose sum is σ = 41046396300. Its totient is φ = 3195264000.

The previous prime is 12102244171. The next prime is 12102244201. The reversal of 12102244200 is 244220121.

12102244200 is a `hidden beast` number, since 1 + 21 + 0 + 224 + 420 + 0 = 666.

12102244200 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 4378998276 + 7723245924 = 66174^2 + 87882^2 .

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 (12102244201) 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 35 ways as a sum of consecutive naturals, for example, 148516 + ... + 215084.

Almost surely, 2^12102244200 is an apocalyptic number.

12102244200 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 12102244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20523198150).

12102244200 is an abundant number, since it is smaller than the sum of its proper divisors (28944152100).

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

12102244200 is a wasteful number, since it uses less digits than its factorization.

12102244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66692 (or 66680 counting only the distinct ones).

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

Adding to 12102244200 its reverse (244220121), we get a palindrome (12346464321).

The spelling of 12102244200 in words is "twelve billion, one hundred two million, two hundred forty-four thousand, two hundred".