1125200 has 60 divisors (see below), whose sum is σ = 2825340. Its totient is φ = 430080.

The previous prime is 1125193. The next prime is 1125203. The reversal of 1125200 is 25211.

1125200 = 56² + 57² + ... + 152².

It can be written as a sum of positive squares in 6 ways, for example, as 26896 + 1098304 = 164^2 + 1048^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11552 + ... + 11648.

It is an arithmetic number, because the mean of its divisors is an integer number (47089).

2^1125200 is an apocalyptic number.

1125200 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 1125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412670).

1125200 is an abundant number, since it is smaller than the sum of its proper divisors (1700140).

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

1125200 is a wasteful number, since it uses less digits than its factorization.

1125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 1125200 is about 1060.7544484941. The cubic root of 1125200 is about 104.0103539987.

Adding to 1125200 its sum of digits (11), we get a palindrome (1125211).

The spelling of 1125200 in words is "one million, one hundred twenty-five thousand, two hundred".