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12189000 = 2335317239
BaseRepresentation
bin101110011111…
…110101001000
3211221021011110
4232133311020
511110022000
61113130320
7205414305
oct56376510
924837143
1012189000
11697585a
1240b99a0
1326aa035
1418940ac
15110b850
hexb9fd48

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".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 239 250 255 300 340 375 408 425 478 500 510 600 680 717 750 850 956 1000 1020 1195 1275 1434 1500 1700 1912 2040 2125 2390 2550 2868 3000 3400 3585 4063 4250 4780 5100 5736 5975 6375 7170 8126 8500 9560 10200 11950 12189 12750 14340 16252 17000 17925 20315 23900 24378 25500 28680 29875 32504 35850 40630 47800 48756 51000 59750 60945 71700 81260 89625 97512 101575 119500 121890 143400 162520 179250 203150 239000 243780 304725 358500 406300 487560 507875 609450 717000 812600 1015750 1218900 1523625 2031500 2437800 3047250 4063000 6094500 12189000