11121136 has 40 divisors (see below), whose sum is σ = 23442944. Its totient is φ = 5080320.

The previous prime is 11121083. The next prime is 11121139. The reversal of 11121136 is 63112111.

11121136 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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121139) 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, 26206 + ... + 26626.

Almost surely, 2^11121136 is an apocalyptic number.

11121136 is a gapful number since it is divisible by the number (16) 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 11121136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11721472).

11121136 is an abundant number, since it is smaller than the sum of its proper divisors (12321808).

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

11121136 is a wasteful number, since it uses less digits than its factorization.

11121136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 563 counting only the distinct ones).

The product of its digits is 36, while the sum is 16.

The square root of 11121136 is about 3334.8367276375. The cubic root of 11121136 is about 223.2114064305.

Adding to 11121136 its reverse (63112111), we get a palindrome (74233247).

The spelling of 11121136 in words is "eleven million, one hundred twenty-one thousand, one hundred thirty-six".