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12022122120021 = 341311417020057
BaseRepresentation
bin1010111011110001111001…
…0100011000001101010101
31120120022012100202020110000
42232330132110120031111
53033432301230320041
641322515303521513
72350366251642156
oct256743624301525
946508170666400
1012022122120021
11391560a580022
121421b74459299
136928b192b730
142d7c33a6b92d
1515caca122bb6
hexaef1e518355

12022122120021 has 20 divisors (see below), whose sum is σ = 19340431978252. Its totient is φ = 7398228996288.

The previous prime is 12022122120011. The next prime is 12022122120037. The reversal of 12022122120021 is 12002122122021.

It is a happy number.

12022122120021 is a `hidden beast` number, since 1 + 2 + 0 + 221 + 221 + 200 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1761061702500 + 10261060417521 = 1327050^2 + 3203289^2 .

It is not a de Polignac number, because 12022122120021 - 210 = 12022122118997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12022122119976 and 12022122120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022122120011) 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 19 ways as a sum of consecutive naturals, for example, 5708508976 + ... + 5708511081.

Almost surely, 212022122120021 is an apocalyptic number.

It is an amenable number.

12022122120021 is a deficient number, since it is larger than the sum of its proper divisors (7318309858231).

12022122120021 is a wasteful number, since it uses less digits than its factorization.

12022122120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11417020082 (or 11417020073 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12022122120021 its reverse (12002122122021), we get a palindrome (24024244242042).

It can be divided in two parts, 1202212 and 2120021, that added together give a palindrome (3322233).

The spelling of 12022122120021 in words is "twelve trillion, twenty-two billion, one hundred twenty-two million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 11417020057 34251060171 102753180513 148421260741 308259541539 445263782223 924778624617 1335791346669 4007374040007 12022122120021