121344 has 40 divisors (see below), whose sum is σ = 327360. Its totient is φ = 39936.

The previous prime is 121343. The next prime is 121349. The reversal of 121344 is 443121.

121344 = T₁₀₇ + T₁₀₈ + ... + T₁₂₄.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (121343) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1497 + ... + 1575.

It is an arithmetic number, because the mean of its divisors is an integer number (8184).

2¹²¹³⁴⁴ 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 121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163680).

121344 is an abundant number, since it is smaller than the sum of its proper divisors (206016).

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

121344 is an frugal number, since it uses more digits than its factorization.

121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 84 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 121344 is about 348.3446569132. The cubic root of 121344 is about 49.5077020971.

Adding to 121344 its reverse (443121), we get a palindrome (564465).

It can be divided in two parts, 121 and 344, that added together give a triangular number (465 = T₃₀).

The spelling of 121344 in words is "one hundred twenty-one thousand, three hundred forty-four", and thus it is an iban number.