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12117105 = 32571113269
BaseRepresentation
bin101110001110…
…010001110001
3211210121112200
4232032101301
511100221410
61111413413
7204664560
oct56162161
924717480
1012117105
116926840
124084269
1326833b0
141875bd7
1510e53c0
hexb8e471

12117105 has 96 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 4631040.

The previous prime is 12117059. The next prime is 12117121. The reversal of 12117105 is 50171121.

It is a happy number.

12117105 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12117105 - 27 = 12116977 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44911 + ... + 45179.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 212117105 is an apocalyptic number.

12117105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12117105 is an abundant number, since it is smaller than the sum of its proper divisors (16187535).

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

12117105 is a wasteful number, since it uses less digits than its factorization.

12117105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 12117105 is about 3480.9632287630. The cubic root of 12117105 is about 229.6851710162.

Adding to 12117105 its reverse (50171121), we get a palindrome (62288226).

The spelling of 12117105 in words is "twelve million, one hundred seventeen thousand, one hundred five".

Divisors: 1 3 5 7 9 11 13 15 21 33 35 39 45 55 63 65 77 91 99 105 117 143 165 195 231 269 273 315 385 429 455 495 585 693 715 807 819 1001 1155 1287 1345 1365 1883 2145 2421 2959 3003 3465 3497 4035 4095 5005 5649 6435 8877 9009 9415 10491 12105 14795 15015 16947 17485 20713 24479 26631 28245 31473 38467 44385 45045 52455 62139 73437 84735 103565 115401 122395 133155 157365 186417 192335 220311 269269 310695 346203 367185 577005 807807 932085 1101555 1346345 1731015 2423421 4039035 12117105