| Base | Representation |
|---|---|
| bin | 101110000000… |
| … | …110000100000 |
| 3 | 211200210120200 |
| 4 | 232000300200 |
| 5 | 11041433403 |
| 6 | 1110305200 |
| 7 | 204344250 |
| oct | 56006040 |
| 9 | 24623520 |
| 10 | 12061728 |
| 11 | 6899178 |
| 12 | 4058200 |
| 13 | 2664123 |
| 14 | 185d960 |
| 15 | 10d3ca3 |
| hex | b80c20 |
12061728 has 144 divisors (see below), whose sum is σ = 40674816. Its totient is φ = 3317760.
The previous prime is 12061727. The next prime is 12061747. The reversal of 12061728 is 82716021.
12061728 is a `hidden beast` number, since 1 + 20 + 617 + 28 = 666.
It is a Cunningham number, because it is equal to 34732-1.
It is a tau number, because it is divible by the number of its divisors (144).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12061727) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62400 + ... + 62592.
It is an arithmetic number, because the mean of its divisors is an integer number (282464).
Almost surely, 212061728 is an apocalyptic number.
12061728 is a gapful number since it is divisible by the number (18) 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 12061728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20337408).
12061728 is an abundant number, since it is smaller than the sum of its proper divisors (28613088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12061728 is a wasteful number, since it uses less digits than its factorization.
12061728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 247 (or 236 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 27.
The square root of 12061728 is about 3472.9998560322. Note that the first 3 decimals coincide. The cubic root of 12061728 is about 229.3347379879.
Adding to 12061728 its reverse (82716021), we get a palindrome (94777749).
The spelling of 12061728 in words is "twelve million, sixty-one thousand, seven hundred twenty-eight".
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