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12121121110221 = 3243107292717069
BaseRepresentation
bin1011000001100010101100…
…0111100011100011001101
31120220202201202211000101200
42300120223013203203031
53042043024001011341
641440211031500113
72360502452322564
oct260305307434315
946822652730350
1012121121110221
1139535a19626a2
1214391a2b27639
1369c02ac39486
142dc945b9abdb
1516047152bdb6
hexb062b1e38cd

12121121110221 has 24 divisors (see below), whose sum is σ = 18082889716320. Its totient is φ = 7819058320416.

The previous prime is 12121121110213. The next prime is 12121121110229. The reversal of 12121121110221 is 12201112112121.

It is a happy number.

12121121110221 is a `hidden beast` number, since 1 + 21 + 211 + 211 + 1 + 0 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (12121121110213) and next prime (12121121110229).

It is not a de Polignac number, because 12121121110221 - 23 = 12121121110213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12121121110194 and 12121121110203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121121110229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146317126 + ... + 146399943.

It is an arithmetic number, because the mean of its divisors is an integer number (753453738180).

Almost surely, 212121121110221 is an apocalyptic number.

It is an amenable number.

12121121110221 is a deficient number, since it is larger than the sum of its proper divisors (5961768606099).

12121121110221 is a wasteful number, since it uses less digits than its factorization.

12121121110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292717225 (or 292717222 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12121121110221 its reverse (12201112112121), we get a palindrome (24322233222342).

The spelling of 12121121110221 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 9 43 107 129 321 387 963 4601 13803 41409 292717069 878151207 2634453621 12586833967 31320726383 37760501901 93962179149 113281505703 281886537447 1346791234469 4040373703407 12121121110221