11123600 has 30 divisors (see below), whose sum is σ = 26725410. Its totient is φ = 4449280.

The previous prime is 11123599. The next prime is 11123621. The reversal of 11123600 is 632111.

11123600 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 3 ways, for example, as 1364224 + 9759376 = 1168^2 + 3124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13505 + ... + 14304.

It is an arithmetic number, because the mean of its divisors is an integer number (890847).

Almost surely, 2^11123600 is an apocalyptic number.

11123600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11123600 is an abundant number, since it is smaller than the sum of its proper divisors (15601810).

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

11123600 is a wasteful number, since it uses less digits than its factorization.

11123600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27827 (or 27816 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 11123600 is about 3335.2061405556. The cubic root of 11123600 is about 223.2278901270.

Adding to 11123600 its reverse (632111), we get a palindrome (11755711).

The spelling of 11123600 in words is "eleven million, one hundred twenty-three thousand, six hundred".