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122211222201 = 3453101281857
BaseRepresentation
bin111000111010001011…
…0110100001010111001
3102200110002222100010000
41301310112310022321
54000242033102301
6132050522343213
711554336151235
oct1616426641271
9380402870100
10122211222201
114791405a092
121b82835ab09
13b6a8347983
145cb4ca55c5
1532a418c786
hex1c745b42b9

122211222201 has 40 divisors (see below), whose sum is σ = 187849337544. Its totient is φ = 79145164800.

The previous prime is 122211222169. The next prime is 122211222239. The reversal of 122211222201 is 102222112221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 77139507600 + 45071714601 = 277740^2 + 212301^2 .

It is not a de Polignac number, because 122211222201 - 25 = 122211222169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122211222241) 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 39 ways as a sum of consecutive naturals, for example, 292665 + ... + 574521.

Almost surely, 2122211222201 is an apocalyptic number.

It is an amenable number.

122211222201 is a deficient number, since it is larger than the sum of its proper divisors (65638115343).

122211222201 is a wasteful number, since it uses less digits than its factorization.

122211222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282023 (or 282014 counting only the distinct ones).

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

Adding to 122211222201 its reverse (102222112221), we get a palindrome (224433334422).

The spelling of 122211222201 in words is "one hundred twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 27 53 81 101 159 303 477 909 1431 2727 4293 5353 8181 16059 48177 144531 281857 433593 845571 2536713 7610139 14938421 22830417 28467557 44815263 85402671 134445789 256208013 403337367 768624039 1210012101 1508780521 2305872117 4526341563 13579024689 40737074067 122211222201