| Base | Representation |
|---|---|
| bin | 110100010000011100… |
| … | …1001110011111111000 |
| 3 | 101201122212122121001120 |
| 4 | 1220200321032133320 |
| 5 | 3314312040202300 |
| 6 | 123315325545240 |
| 7 | 11051640643560 |
| oct | 1504071163770 |
| 9 | 351585577046 |
| 10 | 112221022200 |
| 11 | 43657928a51 |
| 12 | 198ba715220 |
| 13 | a7756ac021 |
| 14 | 5608173da0 |
| 15 | 2dbc0b83a0 |
| hex | 1a20e4e7f8 |
112221022200 has 768 divisors, whose sum is σ = 437487713280. Its totient is φ = 23211048960.
The previous prime is 112221022187. The next prime is 112221022201. The reversal of 112221022200 is 2220122211.
It is a super-2 number, since 2×1122210222002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 112221022200.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (112221022201) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 282672402 + ... + 282672798.
It is an arithmetic number, because the mean of its divisors is an integer number (569645460).
Almost surely, 2112221022200 is an apocalyptic number.
112221022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 112221022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218743856640).
112221022200 is an abundant number, since it is smaller than the sum of its proper divisors (325266691080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112221022200 is a wasteful number, since it uses less digits than its factorization.
112221022200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 584 (or 575 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 15.
Adding to 112221022200 its reverse (2220122211), we get a palindrome (114441144411).
The spelling of 112221022200 in words is "one hundred twelve billion, two hundred twenty-one million, twenty-two thousand, two hundred".
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