1191200 has 36 divisors (see below), whose sum is σ = 2909970. Its totient is φ = 476160.

The previous prime is 1191199. The next prime is 1191209. The reversal of 1191200 is 21911.

It can be written as a sum of positive squares in 3 ways, for example, as 712336 + 478864 = 844^2 + 692^2 .

It is not an unprimeable number, because it can be changed into a prime (1191209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56 + ... + 1544.

2^1191200 is an apocalyptic number.

1191200 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 1191200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454985).

1191200 is an abundant number, since it is smaller than the sum of its proper divisors (1718770).

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

1191200 is a wasteful number, since it uses less digits than its factorization.

1191200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 1191200 is about 1091.4210919714. The cubic root of 1191200 is about 106.0054583638.

The spelling of 1191200 in words is "one million, one hundred ninety-one thousand, two hundred".