11424120 has 128 divisors (see below), whose sum is σ = 36771840. Its totient is φ = 2833920.

The previous prime is 11424109. The next prime is 11424121. The reversal of 11424120 is 2142411.

11424120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11424120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11424121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137599 + ... + 137681.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 2^11424120 is an apocalyptic number.

11424120 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 11424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920).

11424120 is an abundant number, since it is smaller than the sum of its proper divisors (25347720).

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

11424120 is a wasteful number, since it uses less digits than its factorization.

11424120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

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

The square root of 11424120 is about 3379.9585796279. The cubic root of 11424120 is about 225.2203273876.

Adding to 11424120 its reverse (2142411), we get a palindrome (13566531).

The spelling of 11424120 in words is "eleven million, four hundred twenty-four thousand, one hundred twenty".