220112001121122 has 144 divisors (see below), whose sum is σ = 533591567813304. Its totient is φ = 65509642598400.

The previous prime is 220112001121099. The next prime is 220112001121231. The reversal of 220112001121122 is 221121100211022.

220112001121122 is a `hidden beast` number, since 220 + 1 + 1 + 200 + 1 + 121 + 122 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91867451732001 + 128244549389121 = 9584751^2 + 11324511^2 .

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 = 220112001121095 and 220112001121104.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88182568 + ... + 90644300.

Almost surely, 2^{220112001121122} is an apocalyptic number.

220112001121122 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 220112001121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266795783906652).

220112001121122 is an abundant number, since it is smaller than the sum of its proper divisors (313479566692182).

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

220112001121122 is a wasteful number, since it uses less digits than its factorization.

220112001121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462497 (or 2462483 counting only the distinct ones).

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

Adding to 220112001121122 its reverse (221121100211022), we get a palindrome (441233101332144).

The spelling of 220112001121122 in words is "two hundred twenty trillion, one hundred twelve billion, one million, one hundred twenty-one thousand, one hundred twenty-two".