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12021221120121 = 327817170870057
BaseRepresentation
bin1010111011101110100010…
…0111010101100001111001
31120120012212120100200221100
42232323220213111201321
53033423430101320441
641322250040202013
72350335031400253
oct256735047254171
946505776320840
1012021221120121
113915197a25504
121421962769309
1369279a074bb5
142d7b8a130cd3
1515ca75e99cb6
hexaeee89d5879

12021221120121 has 12 divisors (see below), whose sum is σ = 17366207474772. Its totient is φ = 8013122146176.

The previous prime is 12021221120093. The next prime is 12021221120141. The reversal of 12021221120121 is 12102112212021.

12021221120121 is a `hidden beast` number, since 1 + 20 + 212 + 211 + 201 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 625269747600 + 11395951372521 = 790740^2 + 3375789^2 .

It is not a de Polignac number, because 12021221120121 - 27 = 12021221119993 is a prime.

It is a super-2 number, since 2×120212211201212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12021221120094 and 12021221120103.

It is not an unprimeable number, because it can be changed into a prime (12021221120141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85364676 + ... + 85505381.

It is an arithmetic number, because the mean of its divisors is an integer number (1447183956231).

Almost surely, 212021221120121 is an apocalyptic number.

It is an amenable number.

12021221120121 is a deficient number, since it is larger than the sum of its proper divisors (5344986354651).

12021221120121 is a wasteful number, since it uses less digits than its factorization.

12021221120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170877880 (or 170877877 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12021221120121 its reverse (12102112212021), we get a palindrome (24123333332142).

The spelling of 12021221120121 in words is "twelve trillion, twenty-one billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 7817 23451 70353 170870057 512610171 1537830513 1335691235569 4007073706707 12021221120121