1187200 has 96 divisors (see below), whose sum is σ = 3414960. Its totient is φ = 399360.

The previous prime is 1187189. The next prime is 1187201. The reversal of 1187200 is 27811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1187201) 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 11 ways as a sum of consecutive naturals, for example, 22374 + ... + 22426.

2^1187200 is an apocalyptic number.

1187200 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 1187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707480).

1187200 is an abundant number, since it is smaller than the sum of its proper divisors (2227760).

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

1187200 is an equidigital number, since it uses as much as digits as its factorization.

1187200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 1187200 is about 1089.5870777501. The cubic root of 1187200 is about 105.8866713320.

The spelling of 1187200 in words is "one million, one hundred eighty-seven thousand, two hundred".