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12022120102221 = 327352918166861
BaseRepresentation
bin1010111011110001111000…
…1100101011100101001101
31120120022012012221201112200
42232330132030223211031
53033432300221232341
641322515152352113
72350366225536315
oct256743614534515
946508165851480
1012022120102221
113915609422019
121421b73845639
136928b13a3178
142d7c336a4445
1515cac9d74db6
hexaef1e32b94d

12022120102221 has 12 divisors (see below), whose sum is σ = 17365521717180. Its totient is φ = 8014637292480.

The previous prime is 12022120102193. The next prime is 12022120102243. The reversal of 12022120102221 is 12220102122021.

It is a happy number.

12022120102221 is a `hidden beast` number, since 1 + 20 + 221 + 201 + 0 + 2 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3523087706121 + 8499032396100 = 1876989^2 + 2915310^2 .

It is not a de Polignac number, because 12022120102221 - 29 = 12022120101709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12022120102194 and 12022120102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022120102271) 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, 8421670 + ... + 9745191.

It is an arithmetic number, because the mean of its divisors is an integer number (1447126809765).

Almost surely, 212022120102221 is an apocalyptic number.

It is an amenable number.

12022120102221 is a deficient number, since it is larger than the sum of its proper divisors (5343401614959).

12022120102221 is a wasteful number, since it uses less digits than its factorization.

12022120102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18240396 (or 18240393 counting only the distinct ones).

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

Adding to 12022120102221 its reverse (12220102122021), we get a palindrome (24242222224242).

The spelling of 12022120102221 in words is "twelve trillion, twenty-two billion, one hundred twenty million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 73529 220587 661761 18166861 54500583 163501749 1335791122469 4007373367407 12022120102221