| Base | Representation |
|---|---|
| bin | 101101110010… |
| … | …011010111000 |
| 3 | 211120211000120 |
| 4 | 231302122320 |
| 5 | 11033044000 |
| 6 | 1105133240 |
| 7 | 204011112 |
| oct | 55623270 |
| 9 | 24524016 |
| 10 | 12003000 |
| 11 | 6859039 |
| 12 | 402a220 |
| 13 | 2643489 |
| 14 | 18463b2 |
| 15 | 10c16a0 |
| hex | b726b8 |
12003000 has 64 divisors (see below), whose sum is σ = 37458720. Its totient is φ = 3200000.
The previous prime is 12002989. The next prime is 12003007. The reversal of 12003000 is 30021.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a self number, because there is not a number n which added to its sum of digits gives 12003000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12003007) 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 15 ways as a sum of consecutive naturals, for example, 1000 + ... + 5000.
Almost surely, 212003000 is an apocalyptic number.
12003000 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 12003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18729360).
12003000 is an abundant number, since it is smaller than the sum of its proper divisors (25455720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12003000 is a wasteful number, since it uses less digits than its factorization.
12003000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4025 (or 4011 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 6.
The square root of 12003000 is about 3464.5346007797. The cubic root of 12003000 is about 228.9619254917.
Adding to 12003000 its reverse (30021), we get a palindrome (12033021).
It can be divided in two parts, 1 and 2003000, that added together give a triangular number (2003001 = T2001).
The spelling of 12003000 in words is "twelve million, three thousand".
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