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212122201312112 = 247131925037306259
BaseRepresentation
bin110000001110110010001100…
…011101010100101101110000
31000211001200110221001000101112
4300032302030131110231300
5210300402232013441422
62031051332145452452
762452215615335150
oct6016621435245560
91024050427030345
10212122201312112
116165257a698683
121b95a854041128
139149064c36770
143a54aab048760
15197cbba340ee2
hexc0ec8c754b70

212122201312112 has 160 divisors (see below), whose sum is σ = 532475494387200. Its totient is φ = 79496383785984.

The previous prime is 212122201312061. The next prime is 212122201312157. The reversal of 212122201312112 is 211213102221212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692470439 + ... + 692776697.

It is an arithmetic number, because the mean of its divisors is an integer number (3327971839920).

Almost surely, 2212122201312112 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 212122201312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266237747193600).

212122201312112 is an abundant number, since it is smaller than the sum of its proper divisors (320353293075088).

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

212122201312112 is a wasteful number, since it uses less digits than its factorization.

212122201312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331343 (or 331337 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 212122201312112 its reverse (211213102221212), we get a palindrome (423335303533324).

The spelling of 212122201312112 in words is "two hundred twelve trillion, one hundred twenty-two billion, two hundred one million, three hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 104 112 133 152 182 208 247 266 304 364 494 532 728 988 1064 1456 1729 1976 2128 3458 3952 6916 13832 25037 27664 50074 100148 175259 200296 306259 325481 350518 400592 475703 612518 650962 701036 951406 1225036 1301924 1402072 1902812 2143813 2278367 2450072 2603848 2804144 3329921 3805624 3981367 4287626 4556734 4900144 5207696 5818921 6184139 6659842 7611248 7962734 8575252 9113468 11637842 12368278 13319684 15925468 17150504 18226936 23275684 24736556 26639368 27869569 31850936 34301008 36453872 40732447 43288973 46551368 49473112 53278736 55739138 63701872 75645973 81464894 86577946 93102736 98946224 111478276 151291946 162929788 173155892 222956552 302583892 325859576 346311784 445913104 529521811 605167784 651719152 692623568 1059043622 1210335568 2118087244 4236174488 7667806583 8472348976 15335613166 30671226332 53674646081 61342452664 99681485579 107349292162 122684905328 145688325077 199362971158 214698584324 291376650154 398725942316 429397168648 582753300308 697770399053 797451884632 858794337296 1019818275539 1165506600616 1395540798106 1594903769264 1893948226001 2039636551078 2331013201232 2791081596212 3787896452002 4079273102156 5582163192424 7575792904004 8158546204312 11164326384848 13257637582007 15151585808008 16317092408624 26515275164014 30303171616016 53030550328028 106061100656056 212122201312112