Base | Representation |
---|---|
bin | 101111000001… |
… | …010011100000 |
3 | 212012020020200 |
4 | 233001103200 |
5 | 11123413422 |
6 | 1120105200 |
7 | 206525121 |
oct | 57012340 |
9 | 25166220 |
10 | 12326112 |
11 | 6a59877 |
12 | 4165200 |
13 | 2727576 |
14 | 18cc048 |
15 | 11372ac |
hex | bc14e0 |
12326112 has 72 divisors (see below), whose sum is σ = 35433216. Its totient is φ = 4064256.
The previous prime is 12326063. The next prime is 12326179. The reversal of 12326112 is 21162321.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36408 + ... + 36744.
It is an arithmetic number, because the mean of its divisors is an integer number (492128).
Almost surely, 212326112 is an apocalyptic number.
12326112 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 12326112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17716608).
12326112 is an abundant number, since it is smaller than the sum of its proper divisors (23107104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12326112 is a wasteful number, since it uses less digits than its factorization.
12326112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 480 (or 469 counting only the distinct ones).
The product of its digits is 144, while the sum is 18.
The square root of 12326112 is about 3510.8563058035. The cubic root of 12326112 is about 230.9982571410.
Adding to 12326112 its reverse (21162321), we get a palindrome (33488433).
The spelling of 12326112 in words is "twelve million, three hundred twenty-six thousand, one hundred twelve".
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