Base | Representation |
---|---|
bin | 101110011111… |
… | …110101001000 |
3 | 211221021011110 |
4 | 232133311020 |
5 | 11110022000 |
6 | 1113130320 |
7 | 205414305 |
oct | 56376510 |
9 | 24837143 |
10 | 12189000 |
11 | 697585a |
12 | 40b99a0 |
13 | 26aa035 |
14 | 18940ac |
15 | 110b850 |
hex | b9fd48 |
12189000 has 128 divisors (see below), whose sum is σ = 40435200. Its totient is φ = 3046400.
The previous prime is 12188999. The next prime is 12189007. The reversal of 12189000 is 98121.
It is a zygodrome in base 5.
It is not an unprimeable number, because it can be changed into a prime (12189007) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50881 + ... + 51119.
It is an arithmetic number, because the mean of its divisors is an integer number (315900).
Almost surely, 212189000 is an apocalyptic number.
12189000 is a gapful number since it is divisible by the number (10) 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 12189000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217600).
12189000 is an abundant number, since it is smaller than the sum of its proper divisors (28246200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12189000 is a wasteful number, since it uses less digits than its factorization.
12189000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 280 (or 266 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 21.
The square root of 12189000 is about 3491.2748387946. The cubic root of 12189000 is about 230.1385428695.
The spelling of 12189000 in words is "twelve million, one hundred eighty-nine thousand".
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