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12101120212221 = 3237281129322777
BaseRepresentation
bin1011000000011000001011…
…1110001011110011111101
31120211212002212121010022200
42300012002332023303331
53041231043233242341
641423102231102113
72356164016435605
oct260060276136375
946755085533280
1012101120212221
11394606897aa27
121435340811939
1369a191308ba1
142db9a971dc05
1515eba0684db6
hexb0182f8bcfd

12101120212221 has 24 divisors (see below), whose sum is σ = 18015697557624. Its totient is φ = 7821441492480.

The previous prime is 12101120212199. The next prime is 12101120212271. The reversal of 12101120212221 is 12221202110121.

12101120212221 is a `hidden beast` number, since 1 + 210 + 1 + 1 + 20 + 212 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3655476324900 + 8445643887321 = 1911930^2 + 2906139^2 .

It is not a de Polignac number, because 12101120212221 - 215 = 12101120179453 is a prime.

It is a super-2 number, since 2×121011202122212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12101120212194 and 12101120212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101120212271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64567816 + ... + 64754961.

It is an arithmetic number, because the mean of its divisors is an integer number (750654064901).

Almost surely, 212101120212221 is an apocalyptic number.

It is an amenable number.

12101120212221 is a deficient number, since it is larger than the sum of its proper divisors (5914577345403).

12101120212221 is a wasteful number, since it uses less digits than its factorization.

12101120212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129323101 (or 129323098 counting only the distinct ones).

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

Adding to 12101120212221 its reverse (12221202110121), we get a palindrome (24322322322342).

The spelling of 12101120212221 in words is "twelve trillion, one hundred one billion, one hundred twenty million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 281 333 843 2529 10397 31191 93573 129322777 387968331 1163904993 4784942749 14354828247 36339700337 43064484741 109019101011 327057303033 1344568912469 4033706737407 12101120212221