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12122102102202 = 2334361709120709
BaseRepresentation
bin1011000001100110010110…
…0101101111100010111010
31120220212021010201120102000
42300121211211233202322
53042102031114232302
641440452233521430
72360535663525531
oct260314545574272
946825233646360
1012122102102202
113953a55683474
121439417573276
1369c15624c8c1
142dc9da19b318
151604cc70631c
hexb066596f8ba

12122102102202 has 128 divisors (see below), whose sum is σ = 28056094176000. Its totient is φ = 3876522935040.

The previous prime is 12122102102183. The next prime is 12122102102251. The reversal of 12122102102202 is 20220120122121.

It is a happy number.

12122102102202 is a `hidden beast` number, since 1 + 21 + 2 + 210 + 210 + 220 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100363824 + ... + 100484532.

It is an arithmetic number, because the mean of its divisors is an integer number (219188235750).

Almost surely, 212122102102202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122102102202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14028047088000).

12122102102202 is an abundant number, since it is smaller than the sum of its proper divisors (15933992073798).

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

12122102102202 is a wasteful number, since it uses less digits than its factorization.

12122102102202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121533 (or 121527 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12122102102202 its reverse (20220120122121), we get a palindrome (32342222224323).

The spelling of 12122102102202 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, one hundred two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 43 54 61 86 122 129 183 258 366 387 549 709 774 1098 1161 1418 1647 2127 2322 2623 3294 4254 5246 6381 7869 12762 15738 19143 23607 30487 38286 43249 47214 60974 70821 86498 91461 120709 129747 141642 182922 241418 259494 274383 362127 389241 548766 724254 778482 823149 1086381 1167723 1646298 1859707 2172762 2335446 3259143 3719414 5190487 5579121 6518286 7363249 10380974 11158242 14726498 15571461 16737363 22089747 31142922 33474726 44179494 46714383 50212089 66269241 85582681 93428766 100424178 132538482 140143149 171165362 198807723 256748043 280286298 316619707 397615446 513496086 633239414 770244129 949859121 1540488258 1899718242 2310732387 2849577363 3680055283 4621464774 5220543541 5699154726 7360110566 8548732089 10441087082 11040165849 15661630623 17097464178 22080331698 31323261246 33120497547 46984891869 66240995094 93969783738 99361492641 140954675607 198722985282 224483372263 281909351214 448966744526 673450116789 1346900233578 2020350350367 4040700700734 6061051051101 12122102102202