| Base | Representation |
|---|---|
| bin | 101110111101… |
| … | …001000001000 |
| 3 | 212011100202220 |
| 4 | 232331020020 |
| 5 | 11122342000 |
| 6 | 1115454040 |
| 7 | 206424204 |
| oct | 56751010 |
| 9 | 25140686 |
| 10 | 12309000 |
| 11 | 6a47a30 |
| 12 | 4157320 |
| 13 | 271c842 |
| 14 | 18c5b04 |
| 15 | 11321a0 |
| hex | bbd208 |
12309000 has 128 divisors (see below), whose sum is σ = 42007680. Its totient is φ = 2976000.
The previous prime is 12308999. The next prime is 12309001. The reversal of 12309000 is 90321.
It is an interprime number because it is at equal distance from previous prime (12308999) and next prime (12309001).
It is a super-2 number, since 2×123090002 = 303022962000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is not an unprimeable number, because it can be changed into a prime (12309001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32814 + ... + 33186.
It is an arithmetic number, because the mean of its divisors is an integer number (328185).
Almost surely, 212309000 is an apocalyptic number.
12309000 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 12309000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21003840).
12309000 is an abundant number, since it is smaller than the sum of its proper divisors (29698680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12309000 is a wasteful number, since it uses less digits than its factorization.
12309000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 408 (or 394 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 15.
The square root of 12309000 is about 3508.4184471069. The cubic root of 12309000 is about 230.8913114743.
Adding to 12309000 its reverse (90321), we get a palindrome (12399321).
The spelling of 12309000 in words is "twelve million, three hundred nine thousand".
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