Base | Representation |
---|---|
bin | 101111011000… |
… | …101111100000 |
3 | 212101002221020 |
4 | 233120233200 |
5 | 11140001422 |
6 | 1122125440 |
7 | 210405033 |
oct | 57305740 |
9 | 25332836 |
10 | 12422112 |
11 | 7014a0a |
12 | 41b0880 |
13 | 275c181 |
14 | 191501a |
15 | 115595c |
hex | bd8be0 |
12422112 has 48 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 4088192.
The previous prime is 12422083. The next prime is 12422119. The reversal of 12422112 is 21122421.
It is a tau number, because it is divible by the number of its divisors (48).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 12422091 and 12422100.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12422119) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7189 + ... + 8747.
It is an arithmetic number, because the mean of its divisors is an integer number (687960).
Almost surely, 212422112 is an apocalyptic number.
12422112 is a gapful number since it is divisible by the number (12) 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 12422112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).
12422112 is an abundant number, since it is smaller than the sum of its proper divisors (20599968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12422112 is a wasteful number, since it uses less digits than its factorization.
12422112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1655 (or 1647 counting only the distinct ones).
The product of its digits is 64, while the sum is 15.
The square root of 12422112 is about 3524.5016669027. The cubic root of 12422112 is about 231.5964049185.
Adding to 12422112 its reverse (21122421), we get a palindrome (33544533).
The spelling of 12422112 in words is "twelve million, four hundred twenty-two thousand, one hundred twelve".
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