11123300 has 36 divisors (see below), whose sum is σ = 24735396. Its totient is φ = 4339200.

The previous prime is 11123263. The next prime is 11123311. The reversal of 11123300 is 332111.

11123300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 87616 + 11035684 = 296^2 + 3322^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2744 + ... + 5456.

Almost surely, 2^11123300 is an apocalyptic number.

11123300 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 11123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12367698).

11123300 is an abundant number, since it is smaller than the sum of its proper divisors (13612096).

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

11123300 is a wasteful number, since it uses less digits than its factorization.

11123300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 11123300 is about 3335.1611655211. The cubic root of 11123300 is about 223.2258833136.

Adding to 11123300 its reverse (332111), we get a palindrome (11455411).

The spelling of 11123300 in words is "eleven million, one hundred twenty-three thousand, three hundred".