11124144 has 60 divisors (see below), whose sum is σ = 31624216. Its totient is φ = 3649536.

The previous prime is 11124121. The next prime is 11124151. The reversal of 11124144 is 44142111.

It is a super-3 number, since 3×11124144³ (a number of 22 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 9072 + ... + 10224.

Almost surely, 2^11124144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15812108).

11124144 is an abundant number, since it is smaller than the sum of its proper divisors (20500072).

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

11124144 is a wasteful number, since it uses less digits than its factorization.

11124144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1225 counting only the distinct ones).

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

The square root of 11124144 is about 3335.2876937380. The cubic root of 11124144 is about 223.2315290566.

Adding to 11124144 its reverse (44142111), we get a palindrome (55266255).

The spelling of 11124144 in words is "eleven million, one hundred twenty-four thousand, one hundred forty-four".