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121210200220221 = 34723113434918913
BaseRepresentation
bin11011100011110101110010…
…111011010110001000111101
3120220011120201021000000120000
4123203311302323112020331
5111341401442224021341
61105443110335344513
734350101520264450
oct3343656273261075
9526146637000500
10121210200220221
1135691a59098772
1211717422982139
1352830c4035438
1421d0868159497
15e02e4ea9d8b6
hex6e3d72ed623d

121210200220221 has 160 divisors (see below), whose sum is σ = 217903442803200. Its totient is φ = 65646671118336.

The previous prime is 121210200220097. The next prime is 121210200220229. The reversal of 121210200220221 is 122022002012121.

It is a happy number.

121210200220221 is a `hidden beast` number, since 1 + 2 + 1 + 21 + 0 + 200 + 220 + 221 = 666.

It is not a de Polignac number, because 121210200220221 - 27 = 121210200220093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121210200220194 and 121210200220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121210200220229) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6408820461 + ... + 6408839373.

It is an arithmetic number, because the mean of its divisors is an integer number (1361896517520).

Almost surely, 2121210200220221 is an apocalyptic number.

It is an amenable number.

121210200220221 is a deficient number, since it is larger than the sum of its proper divisors (96693242582979).

121210200220221 is a wasteful number, since it uses less digits than its factorization.

121210200220221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23417 (or 23408 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121210200220221 its reverse (122022002012121), we get a palindrome (243232202232342).

The spelling of 121210200220221 in words is "one hundred twenty-one trillion, two hundred ten billion, two hundred million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 23 27 63 69 81 113 161 189 207 339 483 567 621 791 1017 1449 1863 2373 2599 3051 4347 4349 7119 7797 9153 13041 13047 18193 18913 21357 23391 30443 39141 54579 56739 64071 70173 91329 100027 117423 132391 163737 170217 210519 273987 300081 352269 397173 434999 491211 491437 510651 700189 821961 900243 1191519 1304997 1473633 1474311 1531953 2100567 2137169 2465883 2700729 3044993 3440059 3574557 3914991 4422933 6301701 6411507 8102187 9134979 10320177 10723671 11303051 11744973 13268799 14960183 18905103 19234521 27404937 30960531 33909153 35234919 39806397 44880549 49154887 56715309 57703563 79121357 82214811 82252637 92881593 101727459 134641647 147464661 173110689 237364071 246644433 246757911 278644779 305182377 344084209 403924941 442393983 575768459 712092213 740273733 915547131 1032252627 1211774823 1327181949 1727305377 1891810651 2136276639 2220821199 3096757881 3981545847 5181916131 5675431953 6408829917 6662463597 9290273643 9294547981 13242674557 15545748393 17026295859 27870820929 27883643943 39728023671 46637245179 51078887577 65061835867 83650931829 119184071013 153236662731 195185507601 213774603563 250952795487 357552213039 585556522803 641323810689 752858386461 1072656639117 1496422224941 1756669568409 1923971432067 4489266674823 5270008705227 5771914296201 13467800024469 17315742888603 40403400073407 121210200220221