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12120011121211 = 72191012114211451
BaseRepresentation
bin1011000001011110100011…
…1101010010001000111011
31120220122212102011201201121
42300113220331102020323
53042033240321334321
641435504540530111
72360433113504200
oct260275075221073
946818772151647
1012120011121211
113953082345504
121438b33250937
1369bbb1c9bc46
142dc87c5bbca7
15160408d71441
hexb05e8f5223b

12120011121211 has 96 divisors (see below), whose sum is σ = 15104972931840. Its totient is φ = 9668484000000.

The previous prime is 12120011121199. The next prime is 12120011121221. The reversal of 12120011121211 is 11212111002121.

12120011121211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12120011121211 - 223 = 12120002732603 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12120011121221) 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, 8352867036 + ... + 8352868486.

It is an arithmetic number, because the mean of its divisors is an integer number (157343468040).

Almost surely, 212120011121211 is an apocalyptic number.

12120011121211 is a deficient number, since it is larger than the sum of its proper divisors (2984961810629).

12120011121211 is a wasteful number, since it uses less digits than its factorization.

12120011121211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 12120011121211 its reverse (11212111002121), we get a palindrome (23332122123332).

The spelling of 12120011121211 in words is "twelve trillion, one hundred twenty billion, eleven million, one hundred twenty-one thousand, two hundred eleven".

Divisors: 1 7 19 49 101 133 211 421 707 931 1451 1477 1919 2947 4009 4949 7999 10157 10339 13433 20629 21311 27569 28063 42521 55993 71099 88831 94031 146551 149177 192983 196441 297647 306161 391951 404909 610871 621817 807899 1025857 1044239 1350881 1687789 2083529 2143127 2784469 2834363 4276097 4352719 5655293 5817059 7180999 8971931 11606549 11814523 15001889 19491283 19840541 29932679 30922261 39587051 40719413 61697971 62803517 81245843 82701661 128893781 136438981 170466689 216455827 285035891 431885797 439624619 568720901 587522959 902256467 1172261449 1193266823 1515190789 2448981839 3023200579 4112660713 6315795269 8205830143 8352867761 13018271881 17142872873 28788624991 57440811001 91127903167 120000110111 247347165739 637895322169 1731430160173 12120011121211