121088 has 36 divisors (see below), whose sum is σ = 269808. Its totient is φ = 53760.

The previous prime is 121081. The next prime is 121123. The reversal of 121088 is 880121.

121088 is nontrivially palindromic in base 6.

It is not an unprimeable number, because it can be changed into a prime (121081) by changing a digit.

121088 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 3 ways as a sum of consecutive naturals, for example, 2795 + ... + 2837.

2¹²¹⁰⁸⁸ 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 121088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134904).

121088 is an abundant number, since it is smaller than the sum of its proper divisors (148720).

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

121088 is an equidigital number, since it uses as much as digits as its factorization.

121088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 121088 is about 347.9770107349. The cubic root of 121088 is about 49.4728620419.

121088 divided by its product of nonzero digits (128) gives a triangular number (946 = T₄₃).

The spelling of 121088 in words is "one hundred twenty-one thousand, eighty-eight".