22560120 has 192 divisors, whose sum is σ = 83341440. Its totient is φ = 5443200.

The previous prime is 22560119. The next prime is 22560133. The reversal of 22560120 is 2106522.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22560093 and 22560102.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 106815 + ... + 107025.

It is an arithmetic number, because the mean of its divisors is an integer number (434070).

Almost surely, 2^22560120 is an apocalyptic number.

22560120 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 22560120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41670720).

22560120 is an abundant number, since it is smaller than the sum of its proper divisors (60781320).

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

22560120 is a wasteful number, since it uses less digits than its factorization.

22560120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 22560120 is about 4749.7494670772. The cubic root of 22560120 is about 282.5620298696.

Adding to 22560120 its reverse (2106522), we get a palindrome (24666642).

The spelling of 22560120 in words is "twenty-two million, five hundred sixty thousand, one hundred twenty".