11125800 has 144 divisors (see below), whose sum is σ = 42750240. Its totient is φ = 2540160.

The previous prime is 11125799. The next prime is 11125823. The reversal of 11125800 is 852111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12159 + ... + 13041.

Almost surely, 2^11125800 is an apocalyptic number.

11125800 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 11125800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21375120).

11125800 is an abundant number, since it is smaller than the sum of its proper divisors (31624440).

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

11125800 is a wasteful number, since it uses less digits than its factorization.

11125800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 11125800 is about 3335.5359389459. The cubic root of 11125800 is about 223.2426056563.

Adding to 11125800 its reverse (852111), we get a palindrome (11977911).

The spelling of 11125800 in words is "eleven million, one hundred twenty-five thousand, eight hundred".