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12000209 = 137611213
BaseRepresentation
bin101101110001…
…101111010001
3211120200012012
4231301233101
511033001314
61105112305
7204000014
oct55615721
924520165
1012000209
116856a31
124028695
132642120
14184537b
1510c093e
hexb71bd1

12000209 has 8 divisors (see below), whose sum is σ = 12950952. Its totient is φ = 11053440.

The previous prime is 12000133. The next prime is 12000239. The reversal of 12000209 is 90200021.

12000209 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2371600 + 9628609 = 1540^2 + 3103^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12000209 - 212 = 11996113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12000193 and 12000202.

It is not an unprimeable number, because it can be changed into a prime (12000239) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9287 + ... + 10499.

It is an arithmetic number, because the mean of its divisors is an integer number (1618869).

Almost surely, 212000209 is an apocalyptic number.

It is an amenable number.

12000209 is a deficient number, since it is larger than the sum of its proper divisors (950743).

12000209 is a wasteful number, since it uses less digits than its factorization.

12000209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 12000209 is about 3464.1317815580. The cubic root of 12000209 is about 228.9441776434.

The spelling of 12000209 in words is "twelve million, two hundred nine", and thus it is an aban number.

Divisors: 1 13 761 1213 9893 15769 923093 12000209