1121184 has 72 divisors (see below), whose sum is σ = 3390660. Its totient is φ = 350208.

The previous prime is 1121179. The next prime is 1121189. The reversal of 1121184 is 4811211.

It is an interprime number because it is at equal distance from previous prime (1121179) and next prime (1121189).

It can be written as a sum of positive squares in 2 ways, for example, as 944784 + 176400 = 972^2 + 420^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1121189) 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, 4782 + ... + 5010.

2^1121184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695330).

1121184 is an abundant number, since it is smaller than the sum of its proper divisors (2269476).

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

1121184 is a wasteful number, since it uses less digits than its factorization.

1121184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 1121184 is about 1058.8597640859. The cubic root of 1121184 is about 103.8864638696.

Adding to 1121184 its reverse (4811211), we get a palindrome (5932395).

It can be divided in two parts, 112 and 1184, that added together give a 4-th power (1296 = 6⁴).

The spelling of 1121184 in words is "one million, one hundred twenty-one thousand, one hundred eighty-four".