22205120 has 112 divisors (see below), whose sum is σ = 63203328. Its totient is φ = 7265280.

The previous prime is 22205119. The next prime is 22205137. The reversal of 22205120 is 2150222.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22205095 and 22205104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51305 + ... + 51735.

Almost surely, 2^22205120 is an apocalyptic number.

22205120 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 22205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31601664).

22205120 is an abundant number, since it is smaller than the sum of its proper divisors (40998208).

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

22205120 is a wasteful number, since it uses less digits than its factorization.

22205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 22205120 is about 4712.2308941732. The cubic root of 22205120 is about 281.0720803931.

Adding to 22205120 its reverse (2150222), we get a palindrome (24355342).

The spelling of 22205120 in words is "twenty-two million, two hundred five thousand, one hundred twenty".