2111122200 has 192 divisors, whose sum is σ = 7212395520. Its totient is φ = 506560000.

The previous prime is 2111122177. The next prime is 2111122219. The reversal of 2111122200 is 22211112.

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 47 ways as a sum of consecutive naturals, for example, 665017 + ... + 668183.

It is an arithmetic number, because the mean of its divisors is an integer number (37564560).

Almost surely, 2^2111122200 is an apocalyptic number.

2111122200 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 2111122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606197760).

2111122200 is an abundant number, since it is smaller than the sum of its proper divisors (5101273320).

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

2111122200 is a wasteful number, since it uses less digits than its factorization.

2111122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2111122200 is about 45946.9498443585. The cubic root of 2111122200 is about 1282.8359565060.

Adding to 2111122200 its reverse (22211112), we get a palindrome (2133333312).

It can be divided in two parts, 211112 and 2200, that added together give a palindrome (213312).

The spelling of 2111122200 in words is "two billion, one hundred eleven million, one hundred twenty-two thousand, two hundred".