122405024 has 48 divisors (see below), whose sum is σ = 276950016. Its totient is φ = 52166400.

The previous prime is 122405021. The next prime is 122405071. The reversal of 122405024 is 420504221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122404987 and 122405005.

It is not an unprimeable number, because it can be changed into a prime (122405021) 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 7 ways as a sum of consecutive naturals, for example, 41354 + ... + 44214.

It is an arithmetic number, because the mean of its divisors is an integer number (5769792).

Almost surely, 2^122405024 is an apocalyptic number.

122405024 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 122405024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138475008).

122405024 is an abundant number, since it is smaller than the sum of its proper divisors (154544992).

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

122405024 is a wasteful number, since it uses less digits than its factorization.

122405024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 122405024 is about 11063.6804003008. The cubic root of 122405024 is about 496.5158092248.

Adding to 122405024 its reverse (420504221), we get a palindrome (542909245).

The spelling of 122405024 in words is "one hundred twenty-two million, four hundred five thousand, twenty-four".