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12267126 = 23543587
BaseRepresentation
bin101110110010…
…111001110110
3212002020100000
4232302321312
511120022001
61114532130
7206161134
oct56627166
925066300
1012267126
116a19523
124137046
132706771
1418b4754
151124a86
hexbb2e76

12267126 has 48 divisors (see below), whose sum is σ = 28252224. Its totient is φ = 3987144.

The previous prime is 12267121. The next prime is 12267127. The reversal of 12267126 is 62176221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12267126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12267121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20605 + ... + 21191.

It is an arithmetic number, because the mean of its divisors is an integer number (588588).

Almost surely, 212267126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12267126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14126112).

12267126 is an abundant number, since it is smaller than the sum of its proper divisors (15985098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12267126 is an equidigital number, since it uses as much as digits as its factorization.

12267126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 635 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 12267126 is about 3502.4457169241. The cubic root of 12267126 is about 230.6291908816.

The spelling of 12267126 in words is "twelve million, two hundred sixty-seven thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 243 258 387 486 587 774 1161 1174 1761 2322 3483 3522 5283 6966 10449 10566 15849 20898 25241 31698 47547 50482 75723 95094 142641 151446 227169 285282 454338 681507 1363014 2044521 4089042 6133563 12267126