2112122200 has 192 divisors, whose sum is σ = 5399654400. Its totient is φ = 765811200.

The previous prime is 2112122191. The next prime is 2112122209. The reversal of 2112122200 is 22212112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2112122191) and next prime (2112122209).

It is a super-2 number, since 2×2112122200² = 8922120375465680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112122209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9471289 + ... + 9471511.

It is an arithmetic number, because the mean of its divisors is an integer number (28123200).

Almost surely, 2^2112122200 is an apocalyptic number.

2112122200 is a gapful number since it is divisible by the number (20) 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 2112122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699827200).

2112122200 is an abundant number, since it is smaller than the sum of its proper divisors (3287532200).

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

2112122200 is a wasteful number, since it uses less digits than its factorization.

2112122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2112122200 is about 45957.8306711707. The cubic root of 2112122200 is about 1283.0384765145.

Adding to 2112122200 its reverse (22212112), we get a palindrome (2134334312).

The spelling of 2112122200 in words is "two billion, one hundred twelve million, one hundred twenty-two thousand, two hundred".