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12002112100212 = 22313559113760797
BaseRepresentation
bin1010111010100111010110…
…1000001101011101110100
31120111101112211100220121020
42232221311220031131310
53033120311144201322
641305405535421140
72346060345404043
oct256516550153564
946441484326536
1012002112100212
113908081427a73
12141a10b0847b0
13690a43156220
142d6c962d855a
1515c30857805c
hexaea75a0d774

12002112100212 has 48 divisors (see below), whose sum is σ = 30164549907072. Its totient is φ = 3692296782720.

The previous prime is 12002112100183. The next prime is 12002112100219. The reversal of 12002112100212 is 21200121120021.

It is a junction number, because it is equal to n+sod(n) for n = 12002112100191 and 12002112100200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002112100219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6008203 + ... + 7752594.

It is an arithmetic number, because the mean of its divisors is an integer number (628428123064).

Almost surely, 212002112100212 is an apocalyptic number.

12002112100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002112100212 is an abundant number, since it is smaller than the sum of its proper divisors (18162437806860).

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

12002112100212 is a wasteful number, since it uses less digits than its factorization.

12002112100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13766408 (or 13766406 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12002112100212 its reverse (21200121120021), we get a palindrome (33202233220233).

The spelling of 12002112100212 in words is "twelve trillion, two billion, one hundred twelve million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 5591 11182 16773 22364 33546 67092 72683 145366 218049 290732 436098 872196 13760797 27521594 41282391 55043188 82564782 165129564 178890361 357780722 536671083 715561444 1073342166 2146684332 76936616027 153873232054 230809848081 307746464108 461619696162 923239392324 1000176008351 2000352016702 3000528025053 4000704033404 6001056050106 12002112100212