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12122102205 = 3253122733823
BaseRepresentation
bin10110100101000100…
…01001100110111101
31011021210212121002100
423102202021212331
5144311224232310
65322510415313
7606253111563
oct132242114675
934253777070
1012122102205
115160679894
122423801539
1311b2546555
1482dd23a33
154ae33dec0
hex2d28899bd

12122102205 has 48 divisors (see below), whose sum is σ = 21704656896. Its totient is φ = 6252180480.

The previous prime is 12122102203. The next prime is 12122102221. The reversal of 12122102205 is 50220122121.

12122102205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12122102205 - 21 = 12122102203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122102203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3168924 + ... + 3172746.

It is an arithmetic number, because the mean of its divisors is an integer number (452180352).

Almost surely, 212122102205 is an apocalyptic number.

12122102205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12122102205 is a deficient number, since it is larger than the sum of its proper divisors (9582554691).

12122102205 is a wasteful number, since it uses less digits than its factorization.

12122102205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6138 (or 6135 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 12122102205 its reverse (50220122121), we get a palindrome (62342224326).

The spelling of 12122102205 in words is "twelve billion, one hundred twenty-two million, one hundred two thousand, two hundred five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 1395 2273 3823 6819 11365 11469 19115 20457 34095 34407 57345 70463 102285 118513 172035 211389 352315 355539 592565 634167 1056945 1066617 1777695 3170835 5333085 8689679 26069037 43448395 78207111 130345185 269380049 391035555 808140147 1346900245 2424420441 4040700735 12122102205