121588 has 12 divisors (see below), whose sum is σ = 215460. Its totient is φ = 60032.

The previous prime is 121579. The next prime is 121591. The reversal of 121588 is 885121.

It can be written as a sum of positive squares in 2 ways, for example, as 4624 + 116964 = 68^2 + 342^2 .

It is a congruent number.

It is an unprimeable number.

121588 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 318 + ... + 586.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2¹²¹⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

121588 is a deficient number, since it is larger than the sum of its proper divisors (93872).

121588 is a wasteful number, since it uses less digits than its factorization.

121588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 384 counting only the distinct ones).

The product of its digits is 640, while the sum is 25.

The square root of 121588 is about 348.6947088787. The cubic root of 121588 is about 49.5408634443.

It can be divided in two parts, 12 and 1588, that added together give a square (1600 = 40²).

The spelling of 121588 in words is "one hundred twenty-one thousand, five hundred eighty-eight".