11121138 has 72 divisors (see below), whose sum is σ = 29130192. Its totient is φ = 3170664.

The previous prime is 11121083. The next prime is 11121139. The reversal of 11121138 is 83112111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11121138.

It is not an unprimeable number, because it can be changed into a prime (11121139) 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 35 ways as a sum of consecutive naturals, for example, 23581 + ... + 24047.

It is an arithmetic number, because the mean of its divisors is an integer number (404586).

Almost surely, 2^11121138 is an apocalyptic number.

11121138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14565096).

11121138 is an abundant number, since it is smaller than the sum of its proper divisors (18009054).

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

11121138 is an equidigital number, since it uses as much as digits as its factorization.

11121138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 479 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

The square root of 11121138 is about 3334.8370275022. The cubic root of 11121138 is about 223.2114198111.

Adding to 11121138 its reverse (83112111), we get a palindrome (94233249).

The spelling of 11121138 in words is "eleven million, one hundred twenty-one thousand, one hundred thirty-eight".