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12202122120021 = 3217197404834681
BaseRepresentation
bin1011000110010000011100…
…1001111000101101010101
31121012111210212111122200200
42301210013021320231111
53044404421230320041
641541324424331113
72366400650462241
oct261440711705525
947174725448620
1012202122120021
1139849889121a9
121450a2a013a99
136a6869572c82
1430282b867421
1516261282b1b6
hexb1907278b55

12202122120021 has 24 divisors (see below), whose sum is σ = 18756800486424. Its totient is φ = 7617369338880.

The previous prime is 12202122119983. The next prime is 12202122120037. The reversal of 12202122120021 is 12002122120221.

It is a happy number.

12202122120021 is a `hidden beast` number, since 1 + 220 + 2 + 1 + 221 + 200 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2693619500625 + 9508502619396 = 1641225^2 + 3083586^2 .

It is not a de Polignac number, because 12202122120021 - 223 = 12202113731413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12202122119976 and 12202122120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202122120421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202387200 + ... + 202447481.

It is an arithmetic number, because the mean of its divisors is an integer number (781533353601).

Almost surely, 212202122120021 is an apocalyptic number.

It is an amenable number.

12202122120021 is a deficient number, since it is larger than the sum of its proper divisors (6554678366403).

12202122120021 is a wasteful number, since it uses less digits than its factorization.

12202122120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404834901 (or 404834898 counting only the distinct ones).

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

Adding to 12202122120021 its reverse (12002122120221), we get a palindrome (24204244240242).

The spelling of 12202122120021 in words is "twelve trillion, two hundred two billion, one hundred twenty-two million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 9 17 51 153 197 591 1773 3349 10047 30141 404834681 1214504043 3643512129 6882189577 20646568731 61939706193 79752432157 239257296471 717771889413 1355791346669 4067374040007 12202122120021