1152200 has 48 divisors (see below), whose sum is σ = 3065280. Its totient is φ = 394560.

The previous prime is 1152187. The next prime is 1152227. The reversal of 1152200 is 22511.

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, 989 + ... + 1811.

It is an arithmetic number, because the mean of its divisors is an integer number (63860).

2^1152200 is an apocalyptic number.

1152200 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 1152200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532640).

1152200 is an abundant number, since it is smaller than the sum of its proper divisors (1913080).

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

1152200 is a wasteful number, since it uses less digits than its factorization.

1152200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 837 counting only the distinct ones).

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

The square root of 1152200 is about 1073.4057946555. The cubic root of 1152200 is about 104.8357219483.

Adding to 1152200 its reverse (22511), we get a palindrome (1174711).

It can be divided in two parts, 1152 and 200, that multiplied together give a square (230400 = 480²).

The spelling of 1152200 in words is "one million, one hundred fifty-two thousand, two hundred".