22011221120 has 128 divisors (see below), whose sum is σ = 60215218560. Its totient is φ = 7536992256.

The previous prime is 22011221101. The next prime is 22011221143. The reversal of 22011221120 is 2112211022.

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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 22011221095 and 22011221104.

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, 4060652 + ... + 4066068.

It is an arithmetic number, because the mean of its divisors is an integer number (470431395).

Almost surely, 2^22011221120 is an apocalyptic number.

22011221120 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 22011221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30107609280).

22011221120 is an abundant number, since it is smaller than the sum of its proper divisors (38203997440).

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

22011221120 is an equidigital number, since it uses as much as digits as its factorization.

22011221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6350 (or 6338 counting only the distinct ones).

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

Adding to 22011221120 its reverse (2112211022), we get a palindrome (24123432142).

The spelling of 22011221120 in words is "twenty-two billion, eleven million, two hundred twenty-one thousand, one hundred twenty".