22168120 has 64 divisors (see below), whose sum is σ = 54432000. Its totient is φ = 8076288.

The previous prime is 22168109. The next prime is 22168121. The reversal of 22168120 is 2186122.

It is a junction number, because it is equal to n+sod(n) for n = 22168091 and 22168100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22168121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46041 + ... + 46519.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 2^22168120 is an apocalyptic number.

22168120 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 22168120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216000).

22168120 is an abundant number, since it is smaller than the sum of its proper divisors (32263880).

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

22168120 is a wasteful number, since it uses less digits than its factorization.

22168120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 22168120 is about 4708.3033037390. The cubic root of 22168120 is about 280.9158784512.

The spelling of 22168120 in words is "twenty-two million, one hundred sixty-eight thousand, one hundred twenty".