| Base | Representation |
|---|---|
| bin | 10111111110010… |
| … | …11101000111000 |
| 3 | 112000102112222001 |
| 4 | 23333023220320 |
| 5 | 402441041440 |
| 6 | 31542310344 |
| 7 | 4661265466 |
| oct | 1377135070 |
| 9 | 460375861 |
| 10 | 201112120 |
| 11 | a3582570 |
| 12 | 574283b4 |
| 13 | 32886571 |
| 14 | 1c9d1836 |
| 15 | 129c8b9a |
| hex | bfcba38 |
201112120 has 128 divisors (see below), whose sum is σ = 514252800. Its totient is φ = 70156800.
The previous prime is 201112111. The next prime is 201112189. The reversal of 201112120 is 21211102.
201112120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 201112097 and 201112106.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1583497 + ... + 1583623.
It is an arithmetic number, because the mean of its divisors is an integer number (4017600).
Almost surely, 2201112120 is an apocalyptic number.
201112120 is a gapful number since it is divisible by the number (20) 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 201112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257126400).
201112120 is an abundant number, since it is smaller than the sum of its proper divisors (313140680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201112120 is a wasteful number, since it uses less digits than its factorization.
201112120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 269 (or 265 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 10.
The square root of 201112120 is about 14181.4004950146. The cubic root of 201112120 is about 585.8854975526.
Adding to 201112120 its reverse (21211102), we get a palindrome (222323222).
The spelling of 201112120 in words is "two hundred one million, one hundred twelve thousand, one hundred twenty".
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