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201212020222122 = 237133757117443091
BaseRepresentation
bin101101110000000001010010…
…111111010110100010101010
3222101102200101122111201102210
4231300001102333112202222
5202333124204134101442
61551535305341105550
760245042302240110
oct5560012277264252
9871380348451383
10201212020222122
11591265a1913208
121a6982a25582b6
13883729ac6b950
1437989dc711ab0
15183debe19219c
hexb70052fd68aa

201212020222122 has 128 divisors (see below), whose sum is σ = 509568256124928. Its totient is φ = 51542237779200.

The previous prime is 201212020222097. The next prime is 201212020222141. The reversal of 201212020222122 is 221222020212102.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 2813797 + ... + 20256887.

It is an arithmetic number, because the mean of its divisors is an integer number (3981002000976).

Almost surely, 2201212020222122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201212020222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254784128062464).

201212020222122 is an abundant number, since it is smaller than the sum of its proper divisors (308356235902806).

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

201212020222122 is a wasteful number, since it uses less digits than its factorization.

201212020222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17443724.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 201212020222122 its reverse (221222020212102), we get a palindrome (422434040434224).

The spelling of 201212020222122 in words is "two hundred one trillion, two hundred twelve billion, twenty million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 571 777 962 1142 1443 1554 1713 2886 3367 3426 3997 6734 7423 7994 10101 11991 14846 20202 21127 22269 23982 42254 44538 51961 63381 103922 126762 147889 155883 274651 295778 311766 443667 549302 823953 887334 1647906 1922557 3845114 5767671 11535342 17443091 34886182 52329273 104658546 122101637 226760183 244203274 366304911 453520366 645394367 680280549 732609822 1290788734 1360561098 1587321281 1936183101 3174642562 3872366202 4517760569 4761963843 8390126771 9035521138 9523927686 9960004961 13553281707 16780253542 19920009922 25170380313 27106563414 29880014883 50340760626 58730887397 59760029766 69720034727 117461774794 129480064493 139440069454 176192662191 209160104181 258960128986 352385324382 368520183557 388440193479 418320208362 737040367114 776880386958 906360451451 1105560550671 1812720902902 2211121101342 2579641284899 2719081354353 4790762386241 5159282569798 5438162708706 7738923854697 9581524772482 14372287158723 15477847709394 28744574317446 33535336703687 67070673407374 100606010111061 201212020222122