22011120 has 120 divisors (see below), whose sum is σ = 77859600. Its totient is φ = 5557248.

The previous prime is 22011113. The next prime is 22011131. The reversal of 22011120 is 2111022.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12876 + ... + 14484.

It is an arithmetic number, because the mean of its divisors is an integer number (648830).

Almost surely, 2^22011120 is an apocalyptic number.

22011120 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 22011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38929800).

22011120 is an abundant number, since it is smaller than the sum of its proper divisors (55848480).

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

22011120 is a wasteful number, since it uses less digits than its factorization.

22011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 22011120 is about 4691.6010060533. The cubic root of 22011120 is about 280.2511352308.

Adding to 22011120 its reverse (2111022), we get a palindrome (24122142).

It can be divided in two parts, 2201 and 1120, that added together give a triangular number (3321 = T₈₁).

The spelling of 22011120 in words is "twenty-two million, eleven thousand, one hundred twenty".