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12107205 = 3351131263
BaseRepresentation
bin101110001011…
…110111000101
3211210002222000
4232023313011
511044412310
61111255513
7204623655
oct56136705
924702860
1012107205
11691a360
12407a599
13267ba36
141872365
1510e24c0
hexb8bdc5

12107205 has 64 divisors (see below), whose sum is σ = 24330240. Its totient is φ = 5659200.

The previous prime is 12107203. The next prime is 12107233. The reversal of 12107205 is 50270121.

It is not a de Polignac number, because 12107205 - 21 = 12107203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12107201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45904 + ... + 46166.

It is an arithmetic number, because the mean of its divisors is an integer number (380160).

Almost surely, 212107205 is an apocalyptic number.

12107205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12107205 is an abundant number, since it is smaller than the sum of its proper divisors (12223035).

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

12107205 is a wasteful number, since it uses less digits than its factorization.

12107205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 12107205 is about 3479.5409179948. The cubic root of 12107205 is about 229.6226009896.

Adding to 12107205 its reverse (50270121), we get a palindrome (62377326).

The spelling of 12107205 in words is "twelve million, one hundred seven thousand, two hundred five".

Divisors: 1 3 5 9 11 15 27 31 33 45 55 93 99 135 155 165 263 279 297 341 465 495 789 837 1023 1315 1395 1485 1705 2367 2893 3069 3945 4185 5115 7101 8153 8679 9207 11835 14465 15345 24459 26037 35505 40765 43395 46035 73377 78111 89683 122295 130185 220131 269049 366885 390555 448415 807147 1100655 1345245 2421441 4035735 12107205