12102202200 has 288 divisors, whose sum is σ = 41723110800. Its totient is φ = 2899353600.

The previous prime is 12102202181. The next prime is 12102202219. The reversal of 12102202200 is 220220121.

12102202200 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 (12102202181) and next prime (12102202219).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 71 ways as a sum of consecutive naturals, for example, 6460464 + ... + 6462336.

Almost surely, 2^12102202200 is an apocalyptic number.

12102202200 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 12102202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20861555400).

12102202200 is an abundant number, since it is smaller than the sum of its proper divisors (29620908600).

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

12102202200 is a wasteful number, since it uses less digits than its factorization.

12102202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12102202200 its reverse (220220121), we get a palindrome (12322422321).

The spelling of 12102202200 in words is "twelve billion, one hundred two million, two hundred two thousand, two hundred".