121248 has 36 divisors (see below), whose sum is σ = 345618. Its totient is φ = 40320.

The previous prime is 121229. The next prime is 121259. The reversal of 121248 is 842121.

It can be written as a sum of positive squares in only one way, i.e., 121104 + 144 = 348^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 121248.

It is an unprimeable number.

121248 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 5 ways as a sum of consecutive naturals, for example, 78 + ... + 498.

2¹²¹²⁴⁸ is an apocalyptic number.

121248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172809).

121248 is an abundant number, since it is smaller than the sum of its proper divisors (224370).

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

121248 is a wasteful number, since it uses less digits than its factorization.

121248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 426 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 121248 is about 348.2068350851. The cubic root of 121248 is about 49.4946428240.

Adding to 121248 its reverse (842121), we get a palindrome (963369).

The spelling of 121248 in words is "one hundred twenty-one thousand, two hundred forty-eight".