220111002211122 has 192 divisors, whose sum is σ = 540416800235520. Its totient is φ = 64161688118400.

The previous prime is 220111002211109. The next prime is 220111002211151. The reversal of 220111002211122 is 221112200111022.

220111002211122 is a `hidden beast` number, since 220 + 1 + 1 + 100 + 221 + 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 = 220111002211095 and 220111002211104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 227597829 + ... + 228562887.

It is an arithmetic number, because the mean of its divisors is an integer number (2814670834560).

Almost surely, 2^{220111002211122} is an apocalyptic number.

220111002211122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220111002211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270208400117760).

220111002211122 is an abundant number, since it is smaller than the sum of its proper divisors (320305798024398).

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

220111002211122 is a wasteful number, since it uses less digits than its factorization.

220111002211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965469 (or 965466 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220111002211122 its reverse (221112200111022), we get a palindrome (441223202322144).

The spelling of 220111002211122 in words is "two hundred twenty trillion, one hundred eleven billion, two million, two hundred eleven thousand, one hundred twenty-two".