11121824 has 72 divisors (see below), whose sum is σ = 26243028. Its totient is φ = 4623360.

The previous prime is 11121823. The next prime is 11121841. The reversal of 11121824 is 42812111.

It can be written as a sum of positive squares in 2 ways, for example, as 11102224 + 19600 = 3332^2 + 140^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11121796 and 11121805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64202 + ... + 64374.

Almost surely, 2^11121824 is an apocalyptic number.

11121824 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 11121824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13121514).

11121824 is an abundant number, since it is smaller than the sum of its proper divisors (15121204).

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

11121824 is a wasteful number, since it uses less digits than its factorization.

11121824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 223 counting only the distinct ones).

The product of its digits is 128, while the sum is 20.

The square root of 11121824 is about 3334.9398795181. The cubic root of 11121824 is about 223.2160092661.

Adding to 11121824 its reverse (42812111), we get a palindrome (53933935).

The spelling of 11121824 in words is "eleven million, one hundred twenty-one thousand, eight hundred twenty-four".