11126128 has 40 divisors (see below), whose sum is σ = 23436000. Its totient is φ = 5086464.

The previous prime is 11126113. The next prime is 11126147. The reversal of 11126128 is 82162111.

It is a junction number, because it is equal to n+sod(n) for n = 11126099 and 11126108.

It is a congruent number.

It is an unprimeable number.

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, 30813 + ... + 31171.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 2^11126128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11126128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11718000).

11126128 is an abundant number, since it is smaller than the sum of its proper divisors (12309872).

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

11126128 is a wasteful number, since it uses less digits than its factorization.

11126128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 523 counting only the distinct ones).

The product of its digits is 192, while the sum is 22.

The square root of 11126128 is about 3335.5851060946. The cubic root of 11126128 is about 223.2447994418.

Adding to 11126128 its reverse (82162111), we get a palindrome (93288239).

The spelling of 11126128 in words is "eleven million, one hundred twenty-six thousand, one hundred twenty-eight".