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12122105 = 51728389
BaseRepresentation
bin101110001111…
…011111111001
3211210212101212
4232033133321
511100401410
61111452505
7205015262
oct56173771
924725355
1012122105
11692a576
124087135
132685758
141877969
1510e6b05
hexb8f7f9

12122105 has 12 divisors (see below), whose sum is σ = 15454380. Its totient is φ = 9126144.

The previous prime is 12122093. The next prime is 12122111. The reversal of 12122105 is 50122121.

It can be written as a sum of positive squares in 6 ways, for example, as 2111209 + 10010896 = 1453^2 + 3164^2 .

It is not a de Polignac number, because 12122105 - 26 = 12122041 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12122105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2750 + ... + 5639.

It is an arithmetic number, because the mean of its divisors is an integer number (1287865).

Almost surely, 212122105 is an apocalyptic number.

It is an amenable number.

12122105 is a deficient number, since it is larger than the sum of its proper divisors (3332275).

12122105 is an equidigital number, since it uses as much as digits as its factorization.

12122105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8428 (or 8411 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 12122105 is about 3481.6813467059. The cubic root of 12122105 is about 229.7167590875.

Adding to 12122105 its reverse (50122121), we get a palindrome (62244226).

It can be divided in two parts, 12122 and 105, that multiplied together give a triangular number (1272810 = T1595).

The spelling of 12122105 in words is "twelve million, one hundred twenty-two thousand, one hundred five".

Divisors: 1 5 17 85 289 1445 8389 41945 142613 713065 2424421 12122105