12122824 has 32 divisors (see below), whose sum is σ = 26352000. Its totient is φ = 5120640.

The previous prime is 12122821. The next prime is 12122833. The reversal of 12122824 is 42822121.

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

It is a junction number, because it is equal to n+sod(n) for n = 12122795 and 12122804.

It is not an unprimeable number, because it can be changed into a prime (12122821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2452 + ... + 5500.

It is an arithmetic number, because the mean of its divisors is an integer number (823500).

Almost surely, 2^12122824 is an apocalyptic number.

12122824 is a gapful number since it is divisible by the number (14) 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 12122824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13176000).

12122824 is an abundant number, since it is smaller than the sum of its proper divisors (14229176).

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

12122824 is a wasteful number, since it uses less digits than its factorization.

12122824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3129 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

The square root of 12122824 is about 3481.7845998855. The cubic root of 12122824 is about 229.7213007378.

Adding to 12122824 its reverse (42822121), we get a palindrome (54944945).

The spelling of 12122824 in words is "twelve million, one hundred twenty-two thousand, eight hundred twenty-four".