Base | Representation |
---|---|
bin | 101101110011… |
… | …011011001000 |
3 | 211121000122212 |
4 | 231303123020 |
5 | 11033211422 |
6 | 1105204252 |
7 | 204026105 |
oct | 55633310 |
9 | 24530585 |
10 | 12007112 |
11 | 6861137 |
12 | 4030688 |
13 | 2645300 |
14 | 1847aac |
15 | 10c29e2 |
hex | b736c8 |
12007112 has 48 divisors (see below), whose sum is σ = 24902640. Its totient is φ = 5423808.
The previous prime is 12007111. The next prime is 12007123. The reversal of 12007112 is 21170021.
It is not an unprimeable number, because it can be changed into a prime (12007111) 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 11 ways as a sum of consecutive naturals, for example, 112163 + ... + 112269.
It is an arithmetic number, because the mean of its divisors is an integer number (518805).
Almost surely, 212007112 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12007112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12451320).
12007112 is an abundant number, since it is smaller than the sum of its proper divisors (12895528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12007112 is a wasteful number, since it uses less digits than its factorization.
12007112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 222 (or 205 counting only the distinct ones).
The product of its (nonzero) digits is 28, while the sum is 14.
The square root of 12007112 is about 3465.1279918641. The cubic root of 12007112 is about 228.9880685100.
Adding to 12007112 its reverse (21170021), we get a palindrome (33177133).
The spelling of 12007112 in words is "twelve million, seven thousand, one hundred twelve".
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