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122101211212221 = 34313011234358943
BaseRepresentation
bin11011110000110011100111…
…010100100010100110111101
3121000022202120100101011222010
4123300303213110202212331
5112001001240032242341
61111404304433241433
734501343560614543
oct3360634724424675
9530282510334863
10122101211212221
11359a591861482a
1211840048703279
1353191303bc4a7
142221a3178bd93
15e1b1ecd70716
hex6f0ce75229bd

122101211212221 has 32 divisors (see below), whose sum is σ = 166732080463872. Its totient is φ = 79438868308800.

The previous prime is 122101211212219. The next prime is 122101211212241. The reversal of 122101211212221 is 122212112101221.

It is not a de Polignac number, because 122101211212221 - 21 = 122101211212219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101211212241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2071483876 + ... + 2071542818.

It is an arithmetic number, because the mean of its divisors is an integer number (5210377514496).

Almost surely, 2122101211212221 is an apocalyptic number.

It is an amenable number.

122101211212221 is a deficient number, since it is larger than the sum of its proper divisors (44630869251651).

122101211212221 is a wasteful number, since it uses less digits than its factorization.

122101211212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72633.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 122101211212221 its reverse (122212112101221), we get a palindrome (244313323313442).

The spelling of 122101211212221 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred eleven million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 43 129 1301 3903 12343 37029 55943 58943 167829 176829 530749 1592247 2534549 7603647 16058243 48174729 76684843 230054529 690504449 727533449 2071513347 2182600347 3297448249 9892344747 31283938307 93851814921 946521017149 2839563051447 40700403737407 122101211212221