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212120220210012 = 223236032316352629
BaseRepresentation
bin110000001110110000010110…
…011000000001001101011100
31000211001111100212020121012200
4300032300112120001031130
5210300334202333210022
62031050403415531500
762452115541262242
oct6016602630011534
91024044325217180
10212120220210012
1161651753389314
121b95a3a0689b90
139148b0a677cba
143a5495dcac792
15197cb01462bac
hexc0ec1660135c

212120220210012 has 36 divisors (see below), whose sum is σ = 536194299742920. Its totient is φ = 70706539514592.

The previous prime is 212120220209983. The next prime is 212120220210013. The reversal of 212120220210012 is 210012022021212.

It is a happy number.

212120220210012 is a `hidden beast` number, since 21 + 212 + 0 + 220 + 210 + 0 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120220210013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4795314 + ... + 21147942.

It is an arithmetic number, because the mean of its divisors is an integer number (14894286103970).

Almost surely, 2212120220210012 is an apocalyptic number.

It is an amenable number.

212120220210012 is an abundant number, since it is smaller than the sum of its proper divisors (324074079532908).

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

212120220210012 is a wasteful number, since it uses less digits than its factorization.

212120220210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16712962 (or 16712957 counting only the distinct ones).

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

Adding to 212120220210012 its reverse (210012022021212), we get a palindrome (422132242231224).

The spelling of 212120220210012 in words is "two hundred twelve trillion, one hundred twenty billion, two hundred twenty million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 360323 720646 1080969 1441292 2161938 3242907 4323876 6485814 12971628 16352629 32705258 49057887 65410516 98115774 147173661 196231548 294347322 588694644 5892228339167 11784456678334 17676685017501 23568913356668 35353370035002 53030055052503 70706740070004 106060110105006 212120220210012