2112233200 has 360 divisors, whose sum is σ = 6570610704. Its totient is φ = 645120000.

The previous prime is 2112233197. The next prime is 2112233231. The reversal of 2112233200 is 23322112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20913150 + ... + 20913250.

Almost surely, 2^2112233200 is an apocalyptic number.

2112233200 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 2112233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285305352).

2112233200 is an abundant number, since it is smaller than the sum of its proper divisors (4458377504).

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

2112233200 is a wasteful number, since it uses less digits than its factorization.

2112233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2112233200 is about 45959.0382841069. The cubic root of 2112233200 is about 1283.0609522936.

Adding to 2112233200 its reverse (23322112), we get a palindrome (2135555312).

It can be divided in two parts, 21 and 12233200, that added together give a palindrome (12233221).

The spelling of 2112233200 in words is "two billion, one hundred twelve million, two hundred thirty-three thousand, two hundred".