220113211122 has 288 divisors, whose sum is σ = 591048057600. Its totient is φ = 57878447616.

The previous prime is 220113211111. The next prime is 220113211127. The reversal of 220113211122 is 221112311022.

220113211122 is a `hidden beast` number, since 220 + 1 + 1 + 321 + 1 + 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 = 220113211095 and 220113211104.

It is not an unprimeable number, because it can be changed into a prime (220113211127) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 432442204 + ... + 432442712.

It is an arithmetic number, because the mean of its divisors is an integer number (2052250200).

Almost surely, 2^220113211122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220113211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295524028800).

220113211122 is an abundant number, since it is smaller than the sum of its proper divisors (370934846478).

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

220113211122 is a wasteful number, since it uses less digits than its factorization.

220113211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 690 counting only the distinct ones).

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

Adding to 220113211122 its reverse (221112311022), we get a palindrome (441225522144).

The spelling of 220113211122 in words is "two hundred twenty billion, one hundred thirteen million, two hundred eleven thousand, one hundred twenty-two".