11122200 has 144 divisors (see below), whose sum is σ = 38591280. Its totient is φ = 2868480.

The previous prime is 11122187. The next prime is 11122217. The reversal of 11122200 is 222111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66517 + ... + 66683.

It is an arithmetic number, because the mean of its divisors is an integer number (267995).

Almost surely, 2^11122200 is an apocalyptic number.

11122200 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 11122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19295640).

11122200 is an abundant number, since it is smaller than the sum of its proper divisors (27469080).

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

11122200 is a wasteful number, since it uses less digits than its factorization.

11122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 11122200 is about 3334.9962518720. The cubic root of 11122200 is about 223.2185246890.

Adding to 11122200 its reverse (222111), we get a palindrome (11344311).

The spelling of 11122200 in words is "eleven million, one hundred twenty-two thousand, two hundred".