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121131221211 = 327211131920797
BaseRepresentation
bin111000011001111111…
…0111100000011011011
3102120122211202121021100
41300303332330003123
53441034043034321
6131351422242443
711515513251300
oct1606376740333
9376584677240
10121131221211
114740a464390
121b586726423
13b565679b30
145c116910a7
15323e457326
hex1c33fbc0db

121131221211 has 72 divisors (see below), whose sum is σ = 239116301424. Its totient is φ = 58084871040.

The previous prime is 121131221191. The next prime is 121131221243. The reversal of 121131221211 is 112122131121.

It is a happy number.

121131221211 is a `hidden beast` number, since 121 + 1 + 312 + 21 + 211 = 666.

It is not a de Polignac number, because 121131221211 - 26 = 121131221147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121131321211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 897336 + ... + 1023461.

It is an arithmetic number, because the mean of its divisors is an integer number (3321059742).

Almost surely, 2121131221211 is an apocalyptic number.

121131221211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121131221211 is a deficient number, since it is larger than the sum of its proper divisors (117985080213).

121131221211 is a wasteful number, since it uses less digits than its factorization.

121131221211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920841 (or 1920831 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

Adding to 121131221211 its reverse (112122131121), we get a palindrome (233253352332).

The spelling of 121131221211 in words is "one hundred twenty-one billion, one hundred thirty-one million, two hundred twenty-one thousand, two hundred eleven".

Divisors: 1 3 7 9 11 13 21 33 39 49 63 77 91 99 117 143 147 231 273 429 441 539 637 693 819 1001 1287 1617 1911 3003 4851 5733 7007 9009 21021 63063 1920797 5762391 13445579 17287173 21128767 24970361 40336737 63386301 74911083 94119053 121010211 147901369 174792527 190158903 224733249 274673971 282357159 443704107 524377581 824021913 847071477 1035309583 1223547689 1331112321 1573132743 1922717797 2472065739 3105928749 3670643067 5768153391 9317786247 11011929201 13459024579 17304460173 40377073737 121131221211