11124144220 has 96 divisors (see below), whose sum is σ = 28071953280. Its totient is φ = 3622026240.

The previous prime is 11124144217. The next prime is 11124144223. The reversal of 11124144220 is 2244142111.

11124144220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11124144217) and next prime (11124144223).

It is a junction number, because it is equal to n+sod(n) for n = 11124144191 and 11124144200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11124144223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225202 + ... + 270118.

It is an arithmetic number, because the mean of its divisors is an integer number (292416180).

Almost surely, 2^11124144220 is an apocalyptic number.

11124144220 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 11124144220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14035976640).

11124144220 is an abundant number, since it is smaller than the sum of its proper divisors (16947809060).

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

11124144220 is a wasteful number, since it uses less digits than its factorization.

11124144220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45023 (or 45021 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 11124144220 its reverse (2244142111), we get a palindrome (13368286331).

The spelling of 11124144220 in words is "eleven billion, one hundred twenty-four million, one hundred forty-four thousand, two hundred twenty".