221120311122 has 96 divisors (see below), whose sum is σ = 501985935360. Its totient is φ = 70261555680.

The previous prime is 221120311103. The next prime is 221120311129. The reversal of 221120311122 is 221113021122.

221120311122 is a `hidden beast` number, since 2 + 211 + 20 + 311 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221120311095 and 221120311104.

It is not an unprimeable number, because it can be changed into a prime (221120311129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16064079 + ... + 16077837.

It is an arithmetic number, because the mean of its divisors is an integer number (5229020160).

Almost surely, 2^221120311122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221120311122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250992967680).

221120311122 is an abundant number, since it is smaller than the sum of its proper divisors (280865624238).

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

221120311122 is a wasteful number, since it uses less digits than its factorization.

221120311122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14228 (or 14225 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 221120311122 its reverse (221113021122), we get a palindrome (442233332244).

Subtracting from 221120311122 its reverse (221113021122), we obtain a square (7290000 = 2700²).

The spelling of 221120311122 in words is "two hundred twenty-one billion, one hundred twenty million, three hundred eleven thousand, one hundred twenty-two".