12112212112200 has 384 divisors, whose sum is σ = 42155950953600. Its totient is φ = 3196195200000.

The previous prime is 12112212112199. The next prime is 12112212112201. The reversal of 12112212112200 is 221121221121.

12112212112200 is a `hidden beast` number, since 1 + 2 + 11 + 221 + 211 + 220 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12112212112199) and next prime (12112212112201).

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 (12112212112201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1223327250 + ... + 1223337150.

It is an arithmetic number, because the mean of its divisors is an integer number (109781122275).

Almost surely, 2^{12112212112200} is an apocalyptic number.

12112212112200 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 12112212112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21077975476800).

12112212112200 is an abundant number, since it is smaller than the sum of its proper divisors (30043738841400).

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

12112212112200 is a wasteful number, since it uses less digits than its factorization.

12112212112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12270 (or 12255 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12112212112200 its reverse (221121221121), we get a palindrome (12333333333321).

It can be divided in two parts, 121122 and 12112200, that multiplied together give a square (1467053888400 = 1211220²).

The spelling of 12112212112200 in words is "twelve trillion, one hundred twelve billion, two hundred twelve million, one hundred twelve thousand, two hundred".