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212000220022122 = 2327158310139104831
BaseRepresentation
bin110000001101000000100101…
…110011101000010101101010
31000210122000121211201102222100
4300031000211303220111222
5210241402422311201442
62030515320115234230
762440340040435120
oct6015004563502552
91023560554642870
10212000220022122
1161605874406014
121b93b0908a8976
13913a6c542626c
143a4cc18917910
15197992b47184c
hexc0d025ce856a

212000220022122 has 96 divisors (see below), whose sum is σ = 525341364387840. Its totient is φ = 60526679986080.

The previous prime is 212000220022109. The next prime is 212000220022147. The reversal of 212000220022122 is 221220022000212.

212000220022122 is a `hidden beast` number, since 2 + 1 + 200 + 0 + 220 + 0 + 221 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212000220022095 and 212000220022104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2022252247 + ... + 2022357077.

It is an arithmetic number, because the mean of its divisors is an integer number (5472305879040).

Almost surely, 2212000220022122 is an apocalyptic number.

212000220022122 is an abundant number, since it is smaller than the sum of its proper divisors (313341144365718).

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

212000220022122 is a wasteful number, since it uses less digits than its factorization.

212000220022122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116568 (or 116565 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212000220022122 its reverse (221220022000212), we get a palindrome (433220242022334).

The spelling of 212000220022122 in words is "two hundred twelve trillion, two hundred twenty million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1583 3166 4749 9498 10139 11081 14247 20278 22162 28494 30417 33243 60834 66486 70973 91251 99729 104831 141946 182502 199458 209662 212919 314493 425838 628986 638757 733817 943479 1277514 1467634 1886958 2201451 4402902 6604353 13208706 16050037 32100074 48150111 96300222 112350259 144450333 165947473 224700518 288900666 331894946 337050777 497842419 674101554 995684838 1011152331 1062881509 1161632311 1493527257 2022304662 2125763018 2323264622 2987054514 3188644527 3484896933 6377289054 6969793866 7440170563 9565933581 10454690799 14880341126 19131867162 20909381598 22320511689 44641023378 66961535067 133923070134 1682541428747 3365082857494 5047624286241 10095248572482 11777790001229 15142872858723 23555580002458 30285745717446 35333370003687 70666740007374 106000110011061 212000220022122