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121210221110121 = 34111367689922639
BaseRepresentation
bin11011100011110101110100…
…001011000010001101101001
3120220011120202201022100010000
4123203311310023002031221
5111341402013101010441
61105443112403213213
734350102162661113
oct3343656413021551
9526146681270100
10121210221110121
1135691a69966650
1211717429977209
1352830c846a920
1421d086ac363b3
15e02e518282b6
hex6e3d742c2369

121210221110121 has 160 divisors (see below), whose sum is σ = 215938001664000. Its totient is φ = 66785193256320.

The previous prime is 121210221110081. The next prime is 121210221110137. The reversal of 121210221110121 is 121011122012121.

It is a happy number.

121210221110121 is a `hidden beast` number, since 1 + 2 + 1 + 210 + 221 + 110 + 121 = 666.

121210221110121 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 121210221110121 - 218 = 121210220847977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121210221110094 and 121210221110103.

It is not an unprimeable number, because it can be changed into a prime (121210221110141) 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, 5354033520 + ... + 5354056158.

It is an arithmetic number, because the mean of its divisors is an integer number (1349612510400).

Almost surely, 2121210221110121 is an apocalyptic number.

121210221110121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121210221110121 is a deficient number, since it is larger than the sum of its proper divisors (94727780553879).

121210221110121 is a wasteful number, since it uses less digits than its factorization.

121210221110121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29641 (or 29632 counting only the distinct ones).

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

Adding to 121210221110121 its reverse (121011122012121), we get a palindrome (242221343122242).

The spelling of 121210221110121 in words is "one hundred twenty-one trillion, two hundred ten billion, two hundred twenty-one million, one hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 9 11 13 27 33 39 67 81 99 117 143 201 297 351 429 603 737 871 891 1053 1287 1809 2211 2613 3861 5427 6633 6899 7839 9581 11583 19899 20697 22639 23517 28743 59697 62091 67917 70551 75889 86229 89687 186273 203751 227667 249029 258687 269061 294307 462233 558819 611253 683001 747087 776061 807183 882921 986557 1386699 1516813 1833759 2049003 2241261 2421549 2648763 2959671 3237377 4160097 4550439 5084563 6009029 6147009 6723783 7264647 7946289 8879013 9712131 12480291 13651317 15253689 16684943 18027087 19718569 20171349 23838867 26637039 29136393 37440873 40953951 45761067 50054829 54081261 59155707 66099319 79911117 87409179 122861853 137283201 150164487 156186461 162243783 177467121 198297957 216904259 262227537 411849603 450493461 468559383 486731349 532401363 594893871 650712777 1351480383 1405678149 1597204089 1718051071 1784681613 1952138331 2030423993 4217034447 5154153213 5354044839 5856414993 6091271979 10464492887 12651103341 15462459639 17569244979 18273815937 22334663923 31393478661 46387378917 54821447811 67003991769 94180435983 115109421757 136038407531 139162136751 164464343433 201011975307 282541307949 345328265271 408115222593 603035925921 847623923847 1035984795813 1224345667779 1496422482841 1809107777763 3107954387439 3673037003337 4489267448523 9323863162317 11019111010011 13467802345569 40403407036707 121210221110121