11205220 has 48 divisors (see below), whose sum is σ = 25740288. Its totient is φ = 4072320.

The previous prime is 11205211. The next prime is 11205253. The reversal of 11205220 is 2250211.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 11205220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18157 + ... + 18763.

It is an arithmetic number, because the mean of its divisors is an integer number (536256).

Almost surely, 2^11205220 is an apocalyptic number.

11205220 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 11205220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12870144).

11205220 is an abundant number, since it is smaller than the sum of its proper divisors (14535068).

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

11205220 is a wasteful number, since it uses less digits than its factorization.

11205220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 11205220 is about 3347.4199019543. The cubic root of 11205220 is about 223.7725422811.

Adding to 11205220 its reverse (2250211), we get a palindrome (13455431).

The spelling of 11205220 in words is "eleven million, two hundred five thousand, two hundred twenty".