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121121110220211 = 33127457427118097
BaseRepresentation
bin11011100010100010110100…
…101111111101110110110011
3120212212001202102110002202000
4123202202310233331312303
5111333422013204021321
61105334134143425043
734340466010626213
oct3342426457756663
9525761672402660
10121121110220211
11356581a110a092
12117020ba8b5183
1352778968cb3ba
1421ca41605c243
15e00988576826
hex6e28b4bfddb3

121121110220211 has 64 divisors (see below), whose sum is σ = 181299775733760. Its totient is φ = 79913169423360.

The previous prime is 121121110220189. The next prime is 121121110220239. The reversal of 121121110220211 is 112022011121121.

It is a happy number.

121121110220211 is a `hidden beast` number, since 1 + 2 + 1 + 121 + 110 + 220 + 211 = 666.

It is not a de Polignac number, because 121121110220211 - 230 = 121120036478387 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121121110220261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6692874315 + ... + 6692892411.

It is an arithmetic number, because the mean of its divisors is an integer number (2832808995840).

Almost surely, 2121121110220211 is an apocalyptic number.

121121110220211 is a deficient number, since it is larger than the sum of its proper divisors (60178665513549).

121121110220211 is a wasteful number, since it uses less digits than its factorization.

121121110220211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22961 (or 22955 counting only the distinct ones).

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

Adding to 121121110220211 its reverse (112022011121121), we get a palindrome (233143121341332).

The spelling of 121121110220211 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, one hundred ten million, two hundred twenty thousand, two hundred eleven".

Divisors: 1 3 9 27 127 381 457 1143 1371 3429 4113 4271 12339 12813 18097 38439 54291 58039 115317 162873 174117 488619 522351 542417 1567053 1627251 1951847 2298319 4881753 5855541 6894957 8270329 14645259 17566623 20684871 24810987 52699869 62054613 74432961 77292287 223298883 231876861 247884569 695630583 743653707 1050331783 2086891749 2230961121 3150995349 6692883363 9452986047 9816120449 28358958141 29448361347 35322575159 88345084041 105967725477 265035252123 317903176431 953709529293 4485967045193 13457901135579 40373703406737 121121110220211