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212112201220122 = 237174165311096101
BaseRepresentation
bin110000001110101000111000…
…011010000000000000011010
31000211000201200000002201002010
4300032220320122000000122
5210300221242003020442
62031043000001050350
762451413040061050
oct6016507032000032
91024021600081063
10212112201220122
1161649308920545
121b9589230269b6
139148130216478
143a543dcca01d0
15197c7d2465b9c
hexc0ea3868001a

212112201220122 has 128 divisors (see below), whose sum is σ = 526673196983808. Its totient is φ = 55562167296000.

The previous prime is 212112201220121. The next prime is 212112201220151. The reversal of 212112201220122 is 221022102211212.

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

It is not an unprimeable number, because it can be changed into a prime (212112201220121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13567872 + ... + 24663972.

It is an arithmetic number, because the mean of its divisors is an integer number (4114634351436).

Almost surely, 2212112201220122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212112201220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263336598491904).

212112201220122 is an abundant number, since it is smaller than the sum of its proper divisors (314560995763686).

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

212112201220122 is a wasteful number, since it uses less digits than its factorization.

212112201220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11096824.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 212112201220122 its reverse (221022102211212), we get a palindrome (433134303431334).

The spelling of 212112201220122 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred one million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 41 42 51 82 102 119 123 238 246 287 357 574 653 697 714 861 1306 1394 1722 1959 2091 3918 4182 4571 4879 9142 9758 11101 13713 14637 22202 26773 27426 29274 33303 53546 66606 77707 80319 155414 160638 187411 233121 374822 455141 466242 562233 910282 1124466 1365423 2730846 3185987 6371974 9557961 11096101 19115922 22192202 33288303 66576606 77672707 155345414 188633717 233018121 377267434 454940141 466036242 565901151 909880282 1131802302 1320436019 1364820423 2640872038 2729640846 3184580987 3961308057 6369161974 7245753953 7733982397 7922616114 9553742961 14491507906 15467964794 19107485922 21737261859 23201947191 43474523718 46403894382 50720277671 54137876779 101440555342 108275753558 123177817201 152160833013 162413630337 246355634402 297075912073 304321666026 324827260674 369533451603 594151824146 739066903206 862244720407 891227736219 1724489440814 1782455472438 2079531384511 2586734161221 4159062769022 5050290505241 5173468322442 6238594153533 10100581010482 12477188307066 15150871515723 30301743031446 35352033536687 70704067073374 106056100610061 212112201220122