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12122121210112 = 28174364777067
BaseRepresentation
bin1011000001100110011010…
…1110101000100100000000
31120220212022110200100112101
42300121212232220210000
53042102101012210422
641440454155240144
72360536315120654
oct260314656504400
946825273610471
1012122121210112
113953a65444531
121439421a49054
1369c15a1acc64
142dc9dc932a64
151604ce22cc27
hexb0666ba8900

12122121210112 has 72 divisors (see below), whose sum is σ = 26216056744416. Its totient is φ = 5571864109056.

The previous prime is 12122121209999. The next prime is 12122121210137. The reversal of 12122121210112 is 21101212122121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12122121210112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32201398 + ... + 32575669.

It is an arithmetic number, because the mean of its divisors is an integer number (364111899228).

Almost surely, 212122121210112 is an apocalyptic number.

It is an amenable number.

12122121210112 is an abundant number, since it is smaller than the sum of its proper divisors (14093935534304).

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

12122121210112 is an equidigital number, since it uses as much as digits as its factorization.

12122121210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64777143 (or 64777129 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 12122121210112 its reverse (21101212122121), we get a palindrome (33223333332233).

The spelling of 12122121210112 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 128 136 172 256 272 344 544 688 731 1088 1376 1462 2176 2752 2924 4352 5504 5848 11008 11696 23392 46784 93568 187136 64777067 129554134 259108268 518216536 1036433072 1101210139 2072866144 2202420278 2785413881 4145732288 4404840556 5570827762 8291464576 8809681112 11141655524 16582929152 17619362224 22283311048 35238724448 44566622096 47352035977 70477448896 89133244192 94704071954 140954897792 178266488384 189408143908 281909795584 356532976768 378816287816 713065953536 757632575632 1515265151264 3030530302528 6061060605056 12122121210112