Base | Representation |
---|---|
bin | 101101110110… |
… | …111001000000 |
3 | 211121202010210 |
4 | 231312321000 |
5 | 11034140222 |
6 | 1105354120 |
7 | 204115362 |
oct | 55667100 |
9 | 24552123 |
10 | 12021312 |
11 | 6870876 |
12 | 4038940 |
13 | 264b904 |
14 | 184cd32 |
15 | 10c6d0c |
hex | b76e40 |
12021312 has 112 divisors (see below), whose sum is σ = 35112960. Its totient is φ = 3612672.
The previous prime is 12021311. The next prime is 12021353. The reversal of 12021312 is 21312021.
12021312 is digitally balanced in base 2 and base 4, because in such bases 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 (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12021311) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94593 + ... + 94719.
Almost surely, 212021312 is an apocalyptic number.
12021312 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 12021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556480).
12021312 is an abundant number, since it is smaller than the sum of its proper divisors (23091648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12021312 is a wasteful number, since it uses less digits than its factorization.
12021312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 188 (or 178 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 12021312 is about 3467.1763727852. The cubic root of 12021312 is about 229.0783025198.
Adding to 12021312 its reverse (21312021), we get a palindrome (33333333).
The spelling of 12021312 in words is "twelve million, twenty-one thousand, three hundred twelve".
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