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121211141121 = 3474397107479
BaseRepresentation
bin111000011100010111…
…1110011110000000001
3102120212102010221210000
41300320233303300001
53441220023003441
6131403355230213
711520503462040
oct1607057636001
9376772127700
10121211141121
11474505903a4
121b5a9448369
13b5790ac915
145c1c136557
1532464922b6
hex1c38bf3c01

121211141121 has 160 divisors (see below), whose sum is σ = 216380989440. Its totient is φ = 66191053824.

The previous prime is 121211141089. The next prime is 121211141173. The reversal of 121211141121 is 121141112121.

121211141121 is a `hidden beast` number, since 1 + 21 + 211 + 1 + 411 + 21 = 666.

It is not a de Polignac number, because 121211141121 - 25 = 121211141089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121211141094 and 121211141103.

It is not an unprimeable number, because it can be changed into a prime (121211141321) 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, 253050160 + ... + 253050638.

It is an arithmetic number, because the mean of its divisors is an integer number (1352381184).

Almost surely, 2121211141121 is an apocalyptic number.

It is an amenable number.

121211141121 is a deficient number, since it is larger than the sum of its proper divisors (95169848319).

121211141121 is a wasteful number, since it uses less digits than its factorization.

121211141121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 736 counting only the distinct ones).

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

Adding to 121211141121 its reverse (121141112121), we get a palindrome (242352253242).

The spelling of 121211141121 in words is "one hundred twenty-one billion, two hundred eleven million, one hundred forty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 43 63 81 97 107 129 189 291 301 321 387 479 567 679 749 873 903 963 1161 1437 2037 2247 2619 2709 2889 3353 3483 4171 4311 4601 6111 6741 7857 8127 8667 10059 10379 12513 12933 13803 18333 20223 20597 24381 29197 30177 31137 32207 37539 38799 41409 46463 51253 54999 60669 61791 72653 87591 90531 93411 96621 112617 124227 139389 144179 153759 185373 217959 262773 271593 280233 289863 325241 337851 358771 372681 418167 432537 446297 461277 556119 653877 788319 840699 869589 975723 1076313 1254501 1297611 1338891 1383831 1668357 1961631 1997909 2203879 2364957 2608767 2927169 3124079 3228939 3763503 3892833 4016673 4151493 4971541 5884893 5993727 6611637 8781507 9372237 9686817 11678499 12050019 13985363 14914623 15427153 17981181 19834911 26344521 28116711 29060451 34800787 36150057 41956089 44743869 46281459 53943543 59504733 84350133 104402361 125868267 134231607 138844377 161830629 178514199 213776263 253050399 313207083 377604801 402694821 416533131 641328789 939621249 1132814403 1249599393 1496433841 1923986367 2818863747 4489301523 5771959101 13467904569 17315877303 40403713707 121211141121