11124120 has 256 divisors, whose sum is σ = 43545600. Its totient is φ = 2211840.

The previous prime is 11124109. The next prime is 11124121. The reversal of 11124120 is 2142111.

11124120 = 190² + 191² + ... + 342².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11124096 and 11124105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11124121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 271300 + ... + 271340.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 2^11124120 is an apocalyptic number.

11124120 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 11124120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

11124120 is an abundant number, since it is smaller than the sum of its proper divisors (32421480).

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

11124120 is a wasteful number, since it uses less digits than its factorization.

11124120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 11124120 is about 3335.2840958455. The cubic root of 11124120 is about 223.2313685181.

Adding to 11124120 its reverse (2142111), we get a palindrome (13266231).

Subtracting from 11124120 its reverse (2142111), we obtain a square (8982009 = 2997²).

The spelling of 11124120 in words is "eleven million, one hundred twenty-four thousand, one hundred twenty".