22450120 has 128 divisors (see below), whose sum is σ = 65007360. Its totient is φ = 6773760.

The previous prime is 22450097. The next prime is 22450121. The reversal of 22450120 is 2105422.

It is a junction number, because it is equal to n+sod(n) for n = 22450094 and 22450103.

It is not an unprimeable number, because it can be changed into a prime (22450121) 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 31 ways as a sum of consecutive naturals, for example, 113862 + ... + 114058.

It is an arithmetic number, because the mean of its divisors is an integer number (507870).

Almost surely, 2^22450120 is an apocalyptic number.

22450120 is a gapful number since it is divisible by the number (20) 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 22450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32503680).

22450120 is an abundant number, since it is smaller than the sum of its proper divisors (42557240).

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

22450120 is a wasteful number, since it uses less digits than its factorization.

22450120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 22450120 is about 4738.1557593646. The cubic root of 22450120 is about 282.1020370821.

Adding to 22450120 its reverse (2105422), we get a palindrome (24555542).

The spelling of 22450120 in words is "twenty-two million, four hundred fifty thousand, one hundred twenty".