11221120 has 64 divisors (see below), whose sum is σ = 27264600. Its totient is φ = 4415488.

The previous prime is 11221103. The next prime is 11221123. The reversal of 11221120 is 2112211.

It can be written as a sum of positive squares in 4 ways, for example, as 10188864 + 1032256 = 3192^2 + 1016^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11221097 and 11221106.

It is not an unprimeable number, because it can be changed into a prime (11221123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56862 + ... + 57058.

Almost surely, 2^11221120 is an apocalyptic number.

11221120 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 11221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13632300).

11221120 is an abundant number, since it is smaller than the sum of its proper divisors (16043480).

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

11221120 is an equidigital number, since it uses as much as digits as its factorization.

11221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 11221120 is about 3349.7940235185. The cubic root of 11221120 is about 223.8783352908.

Adding to 11221120 its reverse (2112211), we get a palindrome (13333331).

The spelling of 11221120 in words is "eleven million, two hundred twenty-one thousand, one hundred twenty".