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212122010120112 = 24325572644649039
BaseRepresentation
bin110000001110110010000001…
…000011111110111110110000
31000211001122222121021110021100
4300032302001003332332300
5210300401334042320422
62031051301155524400
762452211104254111
oct6016620103767660
91024048877243240
10212122010120112
1161652491781264
121b95a7bbbb9700
1391490344445c1
143a54a8d8ba208
15197cba86767ac
hexc0ec810fefb0

212122010120112 has 60 divisors (see below), whose sum is σ = 594712808220960. Its totient is φ = 70580393526144.

The previous prime is 212122010120093. The next prime is 212122010120129. The reversal of 212122010120112 is 211021010221212.

212122010120112 is a `hidden beast` number, since 21 + 212 + 201 + 0 + 120 + 112 = 666.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1322244312 + ... + 1322404727.

It is an arithmetic number, because the mean of its divisors is an integer number (9911880137016).

Almost surely, 2212122010120112 is an apocalyptic number.

It is an amenable number.

212122010120112 is an abundant number, since it is smaller than the sum of its proper divisors (382590798100848).

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

212122010120112 is a wasteful number, since it uses less digits than its factorization.

212122010120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644649610 (or 2644649601 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212122010120112 its reverse (211021010221212), we get a palindrome (423143020341324).

The spelling of 212122010120112 in words is "two hundred twelve trillion, one hundred twenty-two billion, ten million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 557 1114 1671 2228 3342 4456 5013 6684 8912 10026 13368 20052 26736 40104 80208 2644649039 5289298078 7933947117 10578596156 15867894234 21157192312 23801841351 31735788468 42314384624 47603682702 63471576936 95207365404 126943153872 190414730808 380829461616 1473069514723 2946139029446 4419208544169 5892278058892 8838417088338 11784556117784 13257625632507 17676834176676 23569112235568 26515251265014 35353668353352 53030502530028 70707336706704 106061005060056 212122010120112