11219200 has 54 divisors (see below), whose sum is σ = 27785114. Its totient is φ = 4485120.

The previous prime is 11219171. The next prime is 11219203. The reversal of 11219200 is 291211.

It can be written as a sum of positive squares in 3 ways, for example, as 36864 + 11182336 = 192^2 + 3344^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11219203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5524 + ... + 7276.

Almost surely, 2^11219200 is an apocalyptic number.

11219200 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 11219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13892557).

11219200 is an abundant number, since it is smaller than the sum of its proper divisors (16565914).

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

11219200 is an equidigital number, since it uses as much as digits as its factorization.

11219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 11219200 is about 3349.5074264733. The cubic root of 11219200 is about 223.8655655934.

The spelling of 11219200 in words is "eleven million, two hundred nineteen thousand, two hundred".