121185 has 12 divisors (see below), whose sum is σ = 210132. Its totient is φ = 64608.

The previous prime is 121181. The next prime is 121189. The reversal of 121185 is 581121.

It is an interprime number because it is at equal distance from previous prime (121181) and next prime (121189).

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 74529 = 216^2 + 273^2 .

It is not a de Polignac number, because 121185 - 2² = 121181 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121181) 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, 1302 + ... + 1391.

It is an arithmetic number, because the mean of its divisors is an integer number (17511).

2¹²¹¹⁸⁵ is an apocalyptic number.

121185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121185 is a deficient number, since it is larger than the sum of its proper divisors (88947).

121185 is a wasteful number, since it uses less digits than its factorization.

121185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2701 counting only the distinct ones).

The product of its digits is 80, while the sum is 18.

The square root of 121185 is about 348.1163598569. The cubic root of 121185 is about 49.4860689294.

It can be divided in two parts, 1211 and 85, that added together give a 4-th power (1296 = 6⁴).

The spelling of 121185 in words is "one hundred twenty-one thousand, one hundred eighty-five".