22005120 has 128 divisors (see below), whose sum is σ = 71555040. Its totient is φ = 5750784.

The previous prime is 22005107. The next prime is 22005127. The reversal of 22005120 is 2150022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22005096 and 22005105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22005127) 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 15 ways as a sum of consecutive naturals, for example, 140082 + ... + 140238.

Almost surely, 2^22005120 is an apocalyptic number.

22005120 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 22005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35777520).

22005120 is an abundant number, since it is smaller than the sum of its proper divisors (49549920).

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

22005120 is a wasteful number, since it uses less digits than its factorization.

22005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 22005120 is about 4690.9615219057. The cubic root of 22005120 is about 280.2256684119.

Adding to 22005120 its reverse (2150022), we get a palindrome (24155142).

The spelling of 22005120 in words is "twenty-two million, five thousand, one hundred twenty".