122824224 has 72 divisors (see below), whose sum is σ = 350456652. Its totient is φ = 40803840.

The previous prime is 122824217. The next prime is 122824231. The reversal of 122824224 is 422428221.

It is an interprime number because it is at equal distance from previous prime (122824217) and next prime (122824231).

It can be written as a sum of positive squares in 2 ways, for example, as 68359824 + 54464400 = 8268^2 + 7380^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120742 + ... + 121754.

Almost surely, 2^122824224 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 122824224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175228326).

122824224 is an abundant number, since it is smaller than the sum of its proper divisors (227632428).

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

122824224 is a wasteful number, since it uses less digits than its factorization.

122824224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1439 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 122824224 is about 11082.6090790932. The cubic root of 122824224 is about 497.0819686484.

It can be divided in two parts, 1228 and 24224, that added together give a palindrome (25452).

The spelling of 122824224 in words is "one hundred twenty-two million, eight hundred twenty-four thousand, two hundred twenty-four".