22211021120 has 112 divisors (see below), whose sum is σ = 54824772240. Its totient is φ = 8560656384.

The previous prime is 22211021089. The next prime is 22211021167. The reversal of 22211021120 is 2112011222.

It can be written as a sum of positive squares in 8 ways, for example, as 1734555904 + 20476465216 = 41648^2 + 143096^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22211021095 and 22211021104.

It is a congruent number.

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, 5166812 + ... + 5171108.

It is an arithmetic number, because the mean of its divisors is an integer number (489506895).

Almost surely, 2^22211021120 is an apocalyptic number.

22211021120 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 22211021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27412386120).

22211021120 is an abundant number, since it is smaller than the sum of its proper divisors (32613751120).

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

22211021120 is a wasteful number, since it uses less digits than its factorization.

22211021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4900 (or 4890 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22211021120 its reverse (2112011222), we get a palindrome (24323032342).

It can be divided in two parts, 2221102 and 1120, that added together give a palindrome (2222222).

The spelling of 22211021120 in words is "twenty-two billion, two hundred eleven million, twenty-one thousand, one hundred twenty".