| Base | Representation |
|---|---|
| bin | 11001011111011100101000… |
| … | …011101010100001110000010 |
| 3 | 112200221211012200111101020100 |
| 4 | 121133130220131110032002 |
| 5 | 104143321301241213442 |
| 6 | 1034235345512423230 |
| 7 | 32420561036244600 |
| oct | 3137345035241602 |
| 9 | 480854180441210 |
| 10 | 112112210101122 |
| 11 | 327a458092a840 |
| 12 | 106a81203a7b16 |
| 13 | 4a7319cb8c96a |
| 14 | 1d9838d320870 |
| 15 | ce646884c84c |
| hex | 65f728754382 |
112112210101122 has 288 divisors, whose sum is σ = 310861051300800. Its totient is φ = 28874540620800.
The previous prime is 112112210101079. The next prime is 112112210101123. The reversal of 112112210101122 is 221101012211211.
It is a happy number.
112112210101122 is a `hidden beast` number, since 11 + 211 + 221 + 0 + 101 + 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 = 112112210101095 and 112112210101104.
It is not an unprimeable number, because it can be changed into a prime (112112210101123) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1090948222 + ... + 1091050982.
It is an arithmetic number, because the mean of its divisors is an integer number (1079378650350).
Almost surely, 2112112210101122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 112112210101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155430525650400).
112112210101122 is an abundant number, since it is smaller than the sum of its proper divisors (198748841199678).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112112210101122 is a wasteful number, since it uses less digits than its factorization.
112112210101122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 103742 (or 103732 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 18.
Adding to 112112210101122 its reverse (221101012211211), we get a palindrome (333213222312333).
The spelling of 112112210101122 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred ten million, one hundred one thousand, one hundred twenty-two".
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