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12212002202121 = 3217898429106397
BaseRepresentation
bin1011000110110101010000…
…0011011010001000001001
31121020110022102121211101100
42301231110003122020021
53100040140030431441
641550041045012013
72400200541004311
oct261552403321011
947213272554340
1012212002202121
113989098971107
1214529269b4009
136a77824649b7
143030c7ad2441
151629dedeccb6
hexb1b540da209

12212002202121 has 48 divisors (see below), whose sum is σ = 18889454048400. Its totient is φ = 7575367962624.

The previous prime is 12212002202111. The next prime is 12212002202219. The reversal of 12212002202121 is 12120220021221.

It is a happy number.

12212002202121 is a `hidden beast` number, since 1 + 221 + 200 + 220 + 2 + 1 + 21 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 300703076496 + 11911299125625 = 548364^2 + 3451275^2 .

It is not a de Polignac number, because 12212002202121 - 234 = 12194822332937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12212002202094 and 12212002202103.

It is not an unprimeable number, because it can be changed into a prime (12212002202111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114724495 + ... + 114830891.

It is an arithmetic number, because the mean of its divisors is an integer number (393530292675).

Almost surely, 212212002202121 is an apocalyptic number.

It is an amenable number.

12212002202121 is a deficient number, since it is larger than the sum of its proper divisors (6677451846279).

12212002202121 is a wasteful number, since it uses less digits than its factorization.

12212002202121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114938 (or 114935 counting only the distinct ones).

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

Adding to 12212002202121 its reverse (12120220021221), we get a palindrome (24332222223342).

The spelling of 12212002202121 in words is "twelve trillion, two hundred twelve billion, two million, two hundred two thousand, one hundred twenty-one".

Divisors: 1 3 9 17 51 89 153 267 801 1513 4539 8429 13617 25287 75861 106397 143293 319191 429879 750181 957573 1289637 1808749 2250543 5426247 6751629 9469333 12753077 16278741 28407999 38259231 85223997 114777693 160978661 482935983 896820313 1448807949 2690460939 8071382817 15245945321 45737835963 79817007857 137213507889 239451023571 718353070713 1356889133569 4070667400707 12212002202121