12112211102200 has 576 divisors, whose sum is σ = 32660779888800. Its totient is φ = 4168496640000.

The previous prime is 12112211102137. The next prime is 12112211102203. The reversal of 12112211102200 is 220111221121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112211102203) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7584351802 + ... + 7584353398.

Almost surely, 2^{12112211102200} is an apocalyptic number.

12112211102200 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 12112211102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16330389944400).

12112211102200 is an abundant number, since it is smaller than the sum of its proper divisors (20548568786600).

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

12112211102200 is a wasteful number, since it uses less digits than its factorization.

12112211102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12112211102200 its reverse (220111221121), we get a palindrome (12332322323321).

The spelling of 12112211102200 in words is "twelve trillion, one hundred twelve billion, two hundred eleven million, one hundred two thousand, two hundred".