11221200 has 120 divisors (see below), whose sum is σ = 39977600. Its totient is φ = 2989440.

The previous prime is 11221193. The next prime is 11221211. The reversal of 11221200 is 212211.

It is a tau number, because it is divible by the number of its divisors (120).

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

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 23 ways as a sum of consecutive naturals, for example, 10281 + ... + 11319.

Almost surely, 2^11221200 is an apocalyptic number.

11221200 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 11221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19988800).

11221200 is an abundant number, since it is smaller than the sum of its proper divisors (28756400).

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

11221200 is a wasteful number, since it uses less digits than its factorization.

11221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1049 counting only the distinct ones).

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

The square root of 11221200 is about 3349.8059645299. The cubic root of 11221200 is about 223.8788673299.

Adding to 11221200 its reverse (212211), we get a palindrome (11433411).

It can be divided in two parts, 112 and 21200, that added together give a palindrome (21312).

The spelling of 11221200 in words is "eleven million, two hundred twenty-one thousand, two hundred".