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12122102100112 = 2441113631259159
BaseRepresentation
bin1011000001100110010110…
…0101101111000010010000
31120220212021010201110112121
42300121211211233002100
53042102031114200422
641440452233504024
72360535663516454
oct260314545570220
946825233643477
1012122102100112
113953a55681944
121439417572014
1369c15624b974
142dc9da19a664
151604cc7058c7
hexb066596f090

12122102100112 has 80 divisors (see below), whose sum is σ = 24310891503360. Its totient is φ = 5851580313600.

The previous prime is 12122102100109. The next prime is 12122102100137. The reversal of 12122102100112 is 21100120122121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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, 46645189 + ... + 46904347.

It is an arithmetic number, because the mean of its divisors is an integer number (303886143792).

Almost surely, 212122102100112 is an apocalyptic number.

It is an amenable number.

12122102100112 is an abundant number, since it is smaller than the sum of its proper divisors (12188789403248).

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

12122102100112 is a wasteful number, since it uses less digits than its factorization.

12122102100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259952 (or 259946 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12122102100112 its reverse (21100120122121), we get a palindrome (33222222222233).

The spelling of 12122102100112 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 41 82 113 164 226 328 452 631 656 904 1262 1808 2524 4633 5048 9266 10096 18532 25871 37064 51742 71303 74128 103484 142606 206968 259159 285212 413936 518318 570424 1036636 1140848 2073272 2923423 4146544 5846846 10625519 11693692 21251038 23387384 29284967 42502076 46774768 58569934 85004152 117139868 163529329 170008304 234279736 327058658 468559472 654117316 1200683647 1308234632 2401367294 2616469264 4802734588 6704702489 9605469176 13409404978 18478814177 19210938352 26818809956 36957628354 53637619912 73915256708 107275239824 147830513416 295661026832 757631381257 1515262762514 3030525525028 6061051050056 12122102100112