11022144 has 112 divisors (see below), whose sum is σ = 34137600. Its totient is φ = 3073536.

The previous prime is 11022139. The next prime is 11022169. The reversal of 11022144 is 44122011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79227 + ... + 79365.

It is an arithmetic number, because the mean of its divisors is an integer number (304800).

Almost surely, 2^11022144 is an apocalyptic number.

11022144 is a gapful number since it is divisible by the number (14) 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 11022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17068800).

11022144 is an abundant number, since it is smaller than the sum of its proper divisors (23115456).

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

11022144 is a wasteful number, since it uses less digits than its factorization.

11022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 11022144 is about 3319.9614455593. The cubic root of 11022144 is about 222.5471448304.

Adding to 11022144 its reverse (44122011), we get a palindrome (55144155).

The spelling of 11022144 in words is "eleven million, twenty-two thousand, one hundred forty-four".