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12022212020112 = 243373975599213
BaseRepresentation
bin1010111011110010001110…
…1011010100011110010000
31120120022102121220122012000
42232330203223110132100
53033432442234120422
641322532234434000
72350401423040440
oct256744353243620
946508377818160
1012022212020112
1139156562a3318
121421b9a592900
136928c7447058
142d7c41990120
1515cad2e7ecac
hexaef23ad4790

12022212020112 has 80 divisors (see below), whose sum is σ = 39437944202880. Its totient is φ = 3434917719168.

The previous prime is 12022212020009. The next prime is 12022212020113. The reversal of 12022212020112 is 21102021222021.

It is a happy number.

12022212020112 is a `hidden beast` number, since 120 + 222 + 120 + 201 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12022212020113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1987796583 + ... + 1987802630.

It is an arithmetic number, because the mean of its divisors is an integer number (492974302536).

Almost surely, 212022212020112 is an apocalyptic number.

12022212020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12022212020112 is an abundant number, since it is smaller than the sum of its proper divisors (27415732182768).

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

12022212020112 is a wasteful number, since it uses less digits than its factorization.

12022212020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3975599237 (or 3975599225 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12022212020112 its reverse (21102021222021), we get a palindrome (33124233242133).

The spelling of 12022212020112 in words is "twelve trillion, twenty-two billion, two hundred twelve million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 3975599213 7951198426 11926797639 15902396852 23853595278 27829194491 31804793704 35780392917 47707190556 55658388982 63609587408 71560785834 83487583473 95414381112 107341178751 111316777964 143121571668 166975166946 190828762224 214682357502 222633555928 250462750419 286243143336 333950333892 429364715004 445267111856 500925500838 572486286672 667900667784 751388251257 858729430008 1001851001676 1335801335568 1502776502514 1717458860016 2003702003352 3005553005028 4007404006704 6011106010056 12022212020112