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122212210221 = 3297139991077
BaseRepresentation
bin111000111010001101…
…0100101011000101101
3102200110011211112102100
41301310122211120231
54000242311211341
6132050555445313
711554350434613
oct1616432453055
9380404745370
10122212210221
1147914674432
121b828756839
13b6a86025ba
145cb50816b3
1532a42d53b6
hex1c746a562d

122212210221 has 12 divisors (see below), whose sum is σ = 178348633372. Its totient is φ = 80634859776.

The previous prime is 122212210199. The next prime is 122212210259. The reversal of 122212210221 is 122012212221.

It is a happy number.

122212210221 is a `hidden beast` number, since 1 + 2 + 221 + 221 + 0 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77695430121 + 44516780100 = 278739^2 + 210990^2 .

It is not a de Polignac number, because 122212210221 - 27 = 122212210093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122212210194 and 122212210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122212260221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69994666 + ... + 69996411.

Almost surely, 2122212210221 is an apocalyptic number.

It is an amenable number.

122212210221 is a deficient number, since it is larger than the sum of its proper divisors (56136423151).

122212210221 is a wasteful number, since it uses less digits than its factorization.

122212210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139991180 (or 139991177 counting only the distinct ones).

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

Adding to 122212210221 its reverse (122012212221), we get a palindrome (244224422442).

The spelling of 122212210221 in words is "one hundred twenty-two billion, two hundred twelve million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 9 97 291 873 139991077 419973231 1259919693 13579134469 40737403407 122212210221