22113120 has 96 divisors (see below), whose sum is σ = 72721152. Its totient is φ = 5637632.

The previous prime is 22113103. The next prime is 22113121. The reversal of 22113120 is 2131122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×22113120² = 977980152268800, which contains 22 as substring.

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 = 22113096 and 22113105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22113121) 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, 10039 + ... + 12041.

It is an arithmetic number, because the mean of its divisors is an integer number (757512).

Almost surely, 2^22113120 is an apocalyptic number.

22113120 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 22113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36360576).

22113120 is an abundant number, since it is smaller than the sum of its proper divisors (50608032).

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

22113120 is a wasteful number, since it uses less digits than its factorization.

22113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 22113120 is about 4702.4589312401. The cubic root of 22113120 is about 280.6833648443.

Adding to 22113120 its reverse (2131122), we get a palindrome (24244242).

The spelling of 22113120 in words is "twenty-two million, one hundred thirteen thousand, one hundred twenty".