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12122102122 = 213592151887
BaseRepresentation
bin10110100101000100…
…01001100101101010
31011021210212120222021
423102202021211222
5144311224231442
65322510415054
7606253111414
oct132242114552
934253776867
1012122102122
115160679819
12242380148a
1311b25464c0
1482dd239b4
154ae33de67
hex2d288996a

12122102122 has 48 divisors (see below), whose sum is σ = 20073900672. Its totient is φ = 5457405600.

The previous prime is 12122102077. The next prime is 12122102147. The reversal of 12122102122 is 22120122121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12122102096 and 12122102105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13665963 + ... + 13666849.

It is an arithmetic number, because the mean of its divisors is an integer number (418206264).

Almost surely, 212122102122 is an apocalyptic number.

12122102122 is a deficient number, since it is larger than the sum of its proper divisors (7951798550).

12122102122 is a wasteful number, since it uses less digits than its factorization.

12122102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12122102122 its reverse (22120122121), we get a palindrome (34242224243).

It can be divided in two parts, 12122 and 102122, that added together give a square (114244 = 3382).

The spelling of 12122102122 in words is "twelve billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 13 26 59 118 151 302 767 887 1534 1774 1963 3481 3926 6962 8909 11531 17818 23062 45253 52333 90506 104666 115817 133937 231634 267874 525631 680329 1051262 1360658 1741181 3087647 3482362 6175294 6833203 7902283 13666406 15804566 40139411 80278822 102729679 205459358 466234697 932469394 6061051061 12122102122