121590 has 48 divisors (see below), whose sum is σ = 363168. Its totient is φ = 27648.

The previous prime is 121579. The next prime is 121591. The reversal of 121590 is 95121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121591) by changing a digit.

121590 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534 + ... + 726.

It is an arithmetic number, because the mean of its divisors is an integer number (7566).

2¹²¹⁵⁹⁰ is an apocalyptic number.

121590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181584).

121590 is an abundant number, since it is smaller than the sum of its proper divisors (241578).

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

121590 is a wasteful number, since it uses less digits than its factorization.

121590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 121590 is about 348.6975767051. The cubic root of 121590 is about 49.5411350752.

The spelling of 121590 in words is "one hundred twenty-one thousand, five hundred ninety".