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12122122112212 = 2273411012133631
BaseRepresentation
bin1011000001100110011011…
…0010000100110011010100
31120220212022112101011222111
42300121212302010303110
53042102101230042322
641440454230440404
72360536325566000
oct260314662046324
946825275334874
1012122122112212
113953a65a00272
121439422203104
1369c15a437748
142dc9dcac9700
151604ce35a177
hexb0666c84cd4

12122122112212 has 96 divisors (see below), whose sum is σ = 25593342566400. Its totient is φ = 5018297760000.

The previous prime is 12122122112179. The next prime is 12122122112263. The reversal of 12122122112212 is 21221122122121.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4614637 + ... + 6748267.

It is an arithmetic number, because the mean of its divisors is an integer number (266597318400).

Almost surely, 212122122112212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122122112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796671283200).

12122122112212 is an abundant number, since it is smaller than the sum of its proper divisors (13471220454188).

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

12122122112212 is a wasteful number, since it uses less digits than its factorization.

12122122112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133798 (or 2133782 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

Adding to 12122122112212 its reverse (21221122122121), we get a palindrome (33343244234333).

Subtracting 12122122112212 from its reverse (21221122122121), we obtain a palindrome (9099000009909).

The spelling of 12122122112212 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 41 49 82 98 101 164 196 202 287 343 404 574 686 707 1148 1372 1414 2009 2828 4018 4141 4949 8036 8282 9898 14063 16564 19796 28126 28987 34643 56252 57974 69286 115948 138572 202909 405818 811636 1420363 2133631 2840726 4267262 5681452 8534524 14935417 29870834 59741668 87478871 104547919 174957742 209095838 215496731 349915484 418191676 430993462 612352097 731835433 861986924 1224704194 1463670866 1508477117 2449408388 2927341732 3016954234 4286464679 6033908468 8572929358 8835365971 10559339819 17145858716 17670731942 21118679638 30005252753 35341463884 42237359276 60010505506 61847561797 73915378733 120021011012 123695123594 147830757466 247390247188 295661514932 432932932579 865865865158 1731731730316 3030530528053 6061061056106 12122122112212