122944 has 28 divisors (see below), whose sum is σ = 260604. Its totient is φ = 57344.

The previous prime is 122939. The next prime is 122953. The reversal of 122944 is 449221.

It can be written as a sum of positive squares in 2 ways, for example, as 40000 + 82944 = 200^2 + 288^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1032 + ... + 1144.

2¹²²⁹⁴⁴ 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 122944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130302).

122944 is an abundant number, since it is smaller than the sum of its proper divisors (137660).

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

122944 is a wasteful number, since it uses less digits than its factorization.

122944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 122944 is about 350.6337120130. The cubic root of 122944 is about 49.7243497986.

The spelling of 122944 in words is "one hundred twenty-two thousand, nine hundred forty-four".