122824 has 16 divisors (see below), whose sum is σ = 248220. Its totient is φ = 56640.

The previous prime is 122819. The next prime is 122827. The reversal of 122824 is 428221.

It can be written as a sum of positive squares in 2 ways, for example, as 122500 + 324 = 350^2 + 18^2 .

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

It is not an unprimeable number, because it can be changed into a prime (122827) by changing a digit.

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, 487 + ... + 694.

2¹²²⁸²⁴ is an apocalyptic number.

It is an amenable number.

122824 is an abundant number, since it is smaller than the sum of its proper divisors (125396).

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

122824 is a wasteful number, since it uses less digits than its factorization.

122824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1196 counting only the distinct ones).

The product of its digits is 256, while the sum is 19.

The square root of 122824 is about 350.4625514944. The cubic root of 122824 is about 49.7081666465.

It can be divided in two parts, 122 and 824, that added together give a triangular number (946 = T₄₃).

The spelling of 122824 in words is "one hundred twenty-two thousand, eight hundred twenty-four".