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122211011112 = 23313738779587
BaseRepresentation
bin111000111010001011…
…0000000101000101000
3102200110002120121112220
41301310112000220220
54000242004323422
6132050514034040
711554334311641
oct1616426005050
9380402517486
10122211011112
1147913a25533
121b828278920
13b6a82a2878
145cb4c4c6c8
1532a4149e5c
hex1c74580a28

122211011112 has 64 divisors (see below), whose sum is σ = 307869145920. Its totient is φ = 40425005568.

The previous prime is 122211011077. The next prime is 122211011161. The reversal of 122211011112 is 211110112221.

It is a happy number.

122211011112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 122211011091 and 122211011100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12742783 + ... + 12752369.

It is an arithmetic number, because the mean of its divisors is an integer number (4810455405).

Almost surely, 2122211011112 is an apocalyptic number.

122211011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122211011112 is an abundant number, since it is smaller than the sum of its proper divisors (185658134808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122211011112 is a wasteful number, since it uses less digits than its factorization.

122211011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13610 (or 13606 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122211011112 its reverse (211110112221), we get a palindrome (333321123333).

The spelling of 122211011112 in words is "one hundred twenty-two billion, two hundred eleven million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 137 274 411 548 822 1096 1644 3288 3877 7754 9587 11631 15508 19174 23262 28761 31016 38348 46524 57522 76696 93048 115044 230088 531149 1062298 1313419 1593447 2124596 2626838 3186894 3940257 4249192 5253676 6373788 7880514 10507352 12747576 15761028 31522056 37168799 74337598 111506397 148675196 223012794 297350392 446025588 892051176 5092125463 10184250926 15276376389 20368501852 30552752778 40737003704 61105505556 122211011112