11221020 has 144 divisors (see below), whose sum is σ = 38132640. Its totient is φ = 2654208.

The previous prime is 11221009. The next prime is 11221043. The reversal of 11221020 is 2012211.

It is a super-2 number, since 2×11221020² = 251822579680800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11220993 and 11221011.

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 47 ways as a sum of consecutive naturals, for example, 58044 + ... + 58236.

It is an arithmetic number, because the mean of its divisors is an integer number (264810).

Almost surely, 2^11221020 is an apocalyptic number.

11221020 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 11221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19066320).

11221020 is an abundant number, since it is smaller than the sum of its proper divisors (26911620).

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

11221020 is a wasteful number, since it uses less digits than its factorization.

11221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 239 counting only the distinct ones).

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

The square root of 11221020 is about 3349.7790971943. The cubic root of 11221020 is about 223.8776702384.

Adding to 11221020 its reverse (2012211), we get a palindrome (13233231).

The spelling of 11221020 in words is "eleven million, two hundred twenty-one thousand, twenty".