| Base | Representation |
|---|---|
| bin | 10110111101110111… |
| … | …01001010000100000 |
| 3 | 1011211022021120221000 |
| 4 | 23132323221100200 |
| 5 | 200223002041112 |
| 6 | 5355301032000 |
| 7 | 614360136330 |
| oct | 133673512040 |
| 9 | 34738246830 |
| 10 | 12330112032 |
| 11 | 5258032737 |
| 12 | 24813b5600 |
| 13 | 12166765a4 |
| 14 | 84d7cd0c0 |
| 15 | 4c272b7dc |
| hex | 2deee9420 |
12330112032 has 192 divisors, whose sum is σ = 41215426560. Its totient is φ = 3513030912.
The previous prime is 12330111973. The next prime is 12330112037. The reversal of 12330112032 is 23021103321.
12330112032 is digitally balanced in base 2, 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 (18).
It is a junction number, because it is equal to n+sod(n) for n = 12330111996 and 12330112014.
It is not an unprimeable number, because it can be changed into a prime (12330112037) by changing a digit.
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, 2313723 + ... + 2319045.
It is an arithmetic number, because the mean of its divisors is an integer number (214663680).
Almost surely, 212330112032 is an apocalyptic number.
12330112032 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 12330112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20607713280).
12330112032 is an abundant number, since it is smaller than the sum of its proper divisors (28885314528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12330112032 is a wasteful number, since it uses less digits than its factorization.
12330112032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5732 (or 5718 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 12330112032 its reverse (23021103321), we get a palindrome (35351215353).
The spelling of 12330112032 in words is "twelve billion, three hundred thirty million, one hundred twelve thousand, thirty-two".
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