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12102210211221 = 3313218128152147
BaseRepresentation
bin1011000000011100001111…
…1100001100110110010101
31120211221220211121210212000
42300013003330030312111
53041240311303224341
641423402325345513
72356233023326344
oct260070374146625
946757824553760
1012102210211221
113946578184349
1214355a5868299
1369a306097700
142dba703b7b5b
1515ec161e28b6
hexb01c3f0cd95

12102210211221 has 96 divisors (see below), whose sum is σ = 19591569728640. Its totient is φ = 7379868787200.

The previous prime is 12102210211199. The next prime is 12102210211241. The reversal of 12102210211221 is 12211201220121.

12102210211221 is a `hidden beast` number, since 1 + 2 + 10 + 221 + 0 + 211 + 221 = 666.

It is not a de Polignac number, because 12102210211221 - 210 = 12102210210197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12102210211194 and 12102210211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102210211241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232052670 + ... + 232104816.

It is an arithmetic number, because the mean of its divisors is an integer number (204078851340).

Almost surely, 212102210211221 is an apocalyptic number.

It is an amenable number.

12102210211221 is a deficient number, since it is larger than the sum of its proper divisors (7489359517419).

12102210211221 is a wasteful number, since it uses less digits than its factorization.

12102210211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52644 (or 52625 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12102210211221 its reverse (12211201220121), we get a palindrome (24313411431342).

The spelling of 12102210211221 in words is "twelve trillion, one hundred two billion, two hundred ten million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 169 181 281 351 507 543 843 1521 1629 2353 2529 3653 4563 4887 7059 7587 10959 21177 30589 32877 47489 50861 52147 63531 91767 98631 142467 152583 156441 275301 427401 457749 469323 661193 677911 825903 1282203 1373247 1407969 1983579 2033733 5950737 6101199 8595509 8812843 9438607 14653307 17852211 18303597 25786527 26438529 28315821 43959921 77359581 79315587 84947463 122701891 131879763 190492991 232078743 237946761 254842389 368105673 395639289 571478973 1104317019 1595124583 1714436919 2476408883 2652248567 3312951057 4785373749 5143310757 7429226649 7956745701 14356121247 22287679947 23870237103 34479231371 43068363741 66863039841 71610711309 103437694113 310313082339 448230007823 930939247017 1344690023469 4034070070407 12102210211221