11138120 has 32 divisors (see below), whose sum is σ = 28641600. Its totient is φ = 3818688.

The previous prime is 11138093. The next prime is 11138129. The reversal of 11138120 is 2183111.

It is not an unprimeable number, because it can be changed into a prime (11138129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19610 + ... + 20169.

It is an arithmetic number, because the mean of its divisors is an integer number (895050).

Almost surely, 2^11138120 is an apocalyptic number.

11138120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11138120 is an abundant number, since it is smaller than the sum of its proper divisors (17503480).

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

11138120 is a wasteful number, since it uses less digits than its factorization.

11138120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39797 (or 39793 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 11138120 is about 3337.3822076592. The cubic root of 11138120 is about 223.3249767919.

The spelling of 11138120 in words is "eleven million, one hundred thirty-eight thousand, one hundred twenty".