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122201222221 = 13291093296561
BaseRepresentation
bin111000111001111000…
…0101010110001001101
3102200102102011021201101
41301303300222301031
54000232003102341
6132045524143101
711554155151621
oct1616360526115
9380372137641
10122201222221
1147909449a41
121b824b37a91
13b6a6256120
145cb3821181
1532a3364831
hex1c73c2ac4d

122201222221 has 16 divisors (see below), whose sum is σ = 136264307760. Its totient is φ = 108811422720.

The previous prime is 122201222201. The next prime is 122201222233. The reversal of 122201222221 is 122222102221.

It can be written as a sum of positive squares in 8 ways, for example, as 27660346596 + 94540875625 = 166314^2 + 307475^2 .

It is not a de Polignac number, because 122201222221 - 25 = 122201222189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201222201) 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 15 ways as a sum of consecutive naturals, for example, 263781 + ... + 560341.

It is an arithmetic number, because the mean of its divisors is an integer number (8516519235).

Almost surely, 2122201222221 is an apocalyptic number.

It is an amenable number.

122201222221 is a deficient number, since it is larger than the sum of its proper divisors (14063085539).

122201222221 is a wasteful number, since it uses less digits than its factorization.

122201222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297696.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 122201222221 its reverse (122222102221), we get a palindrome (244423324442).

The spelling of 122201222221 in words is "one hundred twenty-two billion, two hundred one million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 13 29 377 1093 14209 31697 296561 412061 3855293 8600269 111803497 324141173 4213835249 9400094017 122201222221