11123120 has 40 divisors (see below), whose sum is σ = 26050416. Its totient is φ = 4416768.

The previous prime is 11123107. The next prime is 11123129. The reversal of 11123120 is 2132111.

11123120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (11123129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12614 + ... + 13466.

Almost surely, 2^11123120 is an apocalyptic number.

11123120 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 11123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13025208).

11123120 is an abundant number, since it is smaller than the sum of its proper divisors (14927296).

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

11123120 is a wasteful number, since it uses less digits than its factorization.

11123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 11123120 is about 3335.1341802092. The cubic root of 11123120 is about 223.2246792082.

Adding to 11123120 its reverse (2132111), we get a palindrome (13255231).

The spelling of 11123120 in words is "eleven million, one hundred twenty-three thousand, one hundred twenty".