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222212122102012 = 22731014723339527
BaseRepresentation
bin110010100001100111001010…
…100110100100100011111100
31002010210021022212002200111211
4302201213022212210203330
5213111210411224231022
62104334501205254204
764543203352063000
oct6241471246444374
91063707285080454
10222212122102012
11648926a4960a99
1220b0a246104364
1396cb68966c573
143cc31a4736700
151aa53a96b5e77
hexca19ca9a48fc

222212122102012 has 96 divisors (see below), whose sum is σ = 458082485683200. Its totient is φ = 94270616193600.

The previous prime is 222212122101941. The next prime is 222212122102097. The reversal of 222212122102012 is 210201221212222.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 654305793 + ... + 654645319.

It is an arithmetic number, because the mean of its divisors is an integer number (4771692559200).

Almost surely, 2222212122102012 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 222212122102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229041242841600).

222212122102012 is an abundant number, since it is smaller than the sum of its proper divisors (235870363581188).

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

222212122102012 is a wasteful number, since it uses less digits than its factorization.

222212122102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344376 (or 344360 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 222212122102012 its reverse (210201221212222), we get a palindrome (432413343314234).

The spelling of 222212122102012 in words is "two hundred twenty-two trillion, two hundred twelve billion, one hundred twenty-two million, one hundred two thousand, twelve".

Divisors: 1 2 4 7 14 28 49 98 101 196 202 343 404 686 707 1372 1414 2828 4723 4949 9446 9898 18892 19796 33061 34643 66122 69286 132244 138572 231427 339527 462854 477023 679054 925708 954046 1358108 1619989 1908092 2376689 3239978 3339161 4753378 6479956 6678322 9506756 13356644 16636823 23374127 33273646 34292227 46748254 66547292 68584454 93496508 116457761 137168908 163618889 232915522 240045589 327237778 465831044 480091178 654475556 960182356 1603586021 1680319123 3207172042 3360638246 6414344084 6721276492 11225102147 11762233861 22450204294 23524467722 44900408588 47048935444 78575715029 157151430058 161962188121 314302860116 323924376242 550030005203 647848752484 1100060010406 1133735316847 2200120020812 2267470633694 4534941267388 7936147217929 15872294435858 31744588871716 55553030525503 111106061051006 222212122102012