11222820 has 96 divisors (see below), whose sum is σ = 39916800. Its totient is φ = 2564352.

The previous prime is 11222791. The next prime is 11222843. The reversal of 11222820 is 2822211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 11222793 and 11222802.

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 31 ways as a sum of consecutive naturals, for example, 2296 + ... + 5264.

It is an arithmetic number, because the mean of its divisors is an integer number (415800).

Almost surely, 2^11222820 is an apocalyptic number.

11222820 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 11222820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19958400).

11222820 is an abundant number, since it is smaller than the sum of its proper divisors (28693980).

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

11222820 is a wasteful number, since it uses less digits than its factorization.

11222820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 11222820 is about 3350.0477608536. The cubic root of 11222820 is about 223.8896405780.

The spelling of 11222820 in words is "eleven million, two hundred twenty-two thousand, eight hundred twenty".