1189120 has 36 divisors (see below), whose sum is σ = 2851380. Its totient is φ = 475136.

The previous prime is 1189109. The next prime is 1189121. The reversal of 1189120 is 219811.

It can be written as a sum of positive squares in 2 ways, for example, as 173056 + 1016064 = 416^2 + 1008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1189091 and 1189100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1189121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 816 + ... + 1744.

It is an arithmetic number, because the mean of its divisors is an integer number (79205).

2^1189120 is an apocalyptic number.

1189120 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 1189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425690).

1189120 is an abundant number, since it is smaller than the sum of its proper divisors (1662260).

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

1189120 is an frugal number, since it uses more digits than its factorization.

1189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 1189120 is about 1090.4677895289. The cubic root of 1189120 is about 105.9437223513.

It can be divided in two parts, 11891 and 20, that added together give a palindrome (11911).

The spelling of 1189120 in words is "one million, one hundred eighty-nine thousand, one hundred twenty".