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12022212212101 = 7131723794276999
BaseRepresentation
bin1010111011110010001110…
…1100000011010110000101
31120120022102122021101112201
42232330203230003112011
53033432442311241401
641322532242514501
72350401424500250
oct256744354032605
946508378241481
1012022212212101
113915656414593
121421b9a665a31
136928c74b3560
142d7c41a00097
1515cad2ebbb01
hexaef23b03585

12022212212101 has 64 divisors (see below), whose sum is σ = 16555069440000. Its totient is φ = 8454906510336.

The previous prime is 12022212212081. The next prime is 12022212212111. The reversal of 12022212212101 is 10121221222021.

12022212212101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12022212212101 - 213 = 12022212203909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022212212111) 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, 672400 + ... + 4949398.

It is an arithmetic number, because the mean of its divisors is an integer number (258672960000).

Almost surely, 212022212212101 is an apocalyptic number.

It is an amenable number.

12022212212101 is a deficient number, since it is larger than the sum of its proper divisors (4532857227899).

12022212212101 is a wasteful number, since it uses less digits than its factorization.

12022212212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4277138.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12022212212101 its reverse (10121221222021), we get a palindrome (22143433434122).

The spelling of 12022212212101 in words is "twelve trillion, twenty-two billion, two hundred twelve million, two hundred twelve thousand, one hundred one".

Divisors: 1 7 13 17 23 79 91 119 161 221 299 391 553 1027 1343 1547 1817 2093 2737 5083 7189 9401 12719 17459 23621 30889 35581 122213 165347 216223 401557 2810899 4276999 29938993 55600987 72708983 98370977 337882921 389206909 508962881 688596839 945216779 1278822701 1672306609 2365180447 4392477973 5744009657 6616517453 7771307183 8951758907 11706146263 21739985917 30747345811 40208067599 54399150281 74672125541 101026993379 132112222111 152179901419 522704878787 707188953653 924785554777 1717458887443 12022212212101