121568 has 24 divisors (see below), whose sum is σ = 249480. Its totient is φ = 58240.

The previous prime is 121559. The next prime is 121571. The reversal of 121568 is 865121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 863 + ... + 993.

It is an arithmetic number, because the mean of its divisors is an integer number (10395).

2¹²¹⁵⁶⁸ 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 121568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124740).

121568 is an abundant number, since it is smaller than the sum of its proper divisors (127912).

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

121568 is a wasteful number, since it uses less digits than its factorization.

121568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its digits is 480, while the sum is 23.

The square root of 121568 is about 348.6660293175. Note that the first 3 decimals coincide. The cubic root of 121568 is about 49.5381469712.

Adding to 121568 its reverse (865121), we get a palindrome (986689).

The spelling of 121568 in words is "one hundred twenty-one thousand, five hundred sixty-eight".