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12216105 = 32511232937
BaseRepresentation
bin101110100110…
…011100101001
3211222122100100
4232212130221
511111403410
61113500013
7205556316
oct56463451
924878310
1012216105
116994160
124111609
1326b9485
14189dd0d
1511148c0
hexba6729

12216105 has 96 divisors (see below), whose sum is σ = 25608960. Its totient is φ = 5322240.

The previous prime is 12216103. The next prime is 12216119. The reversal of 12216105 is 50161221.

It is not a de Polignac number, because 12216105 - 21 = 12216103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12216101) 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 95 ways as a sum of consecutive naturals, for example, 330147 + ... + 330183.

It is an arithmetic number, because the mean of its divisors is an integer number (266760).

Almost surely, 212216105 is an apocalyptic number.

12216105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12216105 is an abundant number, since it is smaller than the sum of its proper divisors (13392855).

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

12216105 is a wasteful number, since it uses less digits than its factorization.

12216105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 12216105 is about 3495.1545030227. The cubic root of 12216105 is about 230.3090049558.

Adding to 12216105 its reverse (50161221), we get a palindrome (62377326).

Subtracting 12216105 from its reverse (50161221), we obtain a triangular number (37945116 = T8711).

It can be divided in two parts, 12216 and 105, that added together give a palindrome (12321).

The spelling of 12216105 in words is "twelve million, two hundred sixteen thousand, one hundred five".

Divisors: 1 3 5 9 11 15 23 29 33 37 45 55 69 87 99 111 115 145 165 185 207 253 261 319 333 345 407 435 495 555 667 759 851 957 1035 1073 1221 1265 1305 1595 1665 2001 2035 2277 2553 2871 3219 3335 3663 3795 4255 4785 5365 6003 6105 7337 7659 9361 9657 10005 11385 11803 12765 14355 16095 18315 22011 24679 28083 30015 35409 36685 38295 46805 48285 59015 66033 74037 84249 106227 110055 123395 140415 177045 222111 271469 330165 370185 421245 531135 814407 1110555 1357345 2443221 4072035 12216105