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12121201121211 = 32713313712903227
BaseRepresentation
bin1011000001100010111111…
…1000110001011110111011
31120220202221100100222211200
42300120233320301132323
53042043204441334321
641440223010425243
72360504443363020
oct260305770613673
946822840328750
1012121201121211
113953633041086
121439205892223
1369c0416a1860
142dc952667547
15160478583d26
hexb062fe317bb

12121201121211 has 96 divisors (see below), whose sum is σ = 22845113561088. Its totient is φ = 6020129122560.

The previous prime is 12121201121207. The next prime is 12121201121213. The reversal of 12121201121211 is 11212110212121.

It is a happy number.

12121201121211 is a `hidden beast` number, since 1 + 212 + 120 + 1 + 121 + 211 = 666.

It is not a de Polignac number, because 12121201121211 - 22 = 12121201121207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12121201121213) 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, 5512221 + ... + 7391006.

It is an arithmetic number, because the mean of its divisors is an integer number (237969932928).

Almost surely, 212121201121211 is an apocalyptic number.

12121201121211 is a deficient number, since it is larger than the sum of its proper divisors (10723912439877).

12121201121211 is a wasteful number, since it uses less digits than its factorization.

12121201121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12903321 (or 12903318 counting only the distinct ones).

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

Adding to 12121201121211 its reverse (11212110212121), we get a palindrome (23333311333332).

The spelling of 12121201121211 in words is "twelve trillion, one hundred twenty-one billion, two hundred one million, one hundred twenty-one thousand, two hundred eleven".

Divisors: 1 3 7 9 13 21 31 37 39 63 91 93 111 117 217 259 273 279 333 403 481 651 777 819 1147 1209 1443 1953 2331 2821 3367 3441 3627 4329 8029 8463 10101 10323 14911 24087 25389 30303 44733 72261 104377 134199 313131 939393 12903227 38709681 90322589 116129043 167741951 270967767 400000037 477419399 503225853 812903301 1174193657 1200000111 1432258197 1509677559 2800000259 3341935793 3522580971 3600000333 4296774591 5200000481 6206452187 8400000777 10025807379 10567742913 14800001369 15600001443 18619356561 25200002331 30077422137 36400003367 43445165309 44400004107 46800004329 55858069683 103600009583 109200010101 130335495927 133200012321 192400017797 310800028749 327600030303 391006487781 577200053391 932400086247 1346800124579 1731600160173 4040400373737 12121201121211