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12222122212201 = 112412313191977
BaseRepresentation
bin1011000111011010111101…
…0000001011101101101001
31121021102102201012121101111
42301312233100023231221
53100221401241242301
641554433155550321
72401006403452006
oct261665720135551
947242381177344
1012222122212201
1139924113a4500
12145488bbbb3a1
136a8705c80845
143037a7b748ad
15162dd35b4551
hexb1daf40bb69

12222122212201 has 36 divisors (see below), whose sum is σ = 13813954761628. Its totient is φ = 10805330764800.

The previous prime is 12222122212187. The next prime is 12222122212207. The reversal of 12222122212201 is 10221222122221.

It can be written as a sum of positive squares in 6 ways, for example, as 8945482810000 + 3276639402201 = 2990900^2 + 1810149^2 .

It is not a de Polignac number, because 12222122212201 - 237 = 12084683258729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12222122212207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63568525 + ... + 63760501.

Almost surely, 212222122212201 is an apocalyptic number.

12222122212201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12222122212201 is a deficient number, since it is larger than the sum of its proper divisors (1591832549427).

12222122212201 is a wasteful number, since it uses less digits than its factorization.

12222122212201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192394 (or 192342 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 12222122212201 its reverse (10221222122221), we get a palindrome (22443344334422).

The spelling of 12222122212201 in words is "twelve trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred twelve thousand, two hundred one".

Divisors: 1 11 41 121 313 451 1681 3443 4961 12833 18491 37873 141163 191977 203401 526153 1552793 2111747 5787683 7871057 23229217 60088801 63664513 86581627 322713337 660976811 952397897 2463640841 3549846707 7270744921 27100049251 39048313777 101009274481 298100541761 1111102019291 12222122212201