122848 has 24 divisors (see below), whose sum is σ = 264600. Its totient is φ = 55680.

The previous prime is 122839. The next prime is 122849. The reversal of 122848 is 848221.

It is a super-2 number, since 2×122848² = 30183262208, which contains 22 as substring.

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

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122849) by changing a digit.

122848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 178 + ... + 526.

It is an arithmetic number, because the mean of its divisors is an integer number (11025).

2¹²²⁸⁴⁸ 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 122848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132300).

122848 is an abundant number, since it is smaller than the sum of its proper divisors (141752).

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

122848 is a wasteful number, since it uses less digits than its factorization.

122848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 362 counting only the distinct ones).

The product of its digits is 1024, while the sum is 25.

The square root of 122848 is about 350.4967902849. The cubic root of 122848 is about 49.7114041199.

The spelling of 122848 in words is "one hundred twenty-two thousand, eight hundred forty-eight".