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122100120212 = 22721693736781
BaseRepresentation
bin111000110110110111…
…0111111101010010100
3102200011100220202211112
41301231232333222110
54000030112321322
6132031513154152
711551516616600
oct1615556775224
9380140822745
10122100120212
1147867375564
121b7b70bb958
13b68b317b55
145ca4224500
1532995435e2
hex1c6dbbfa94

122100120212 has 36 divisors (see below), whose sum is σ = 248582392884. Its totient is φ = 52324110720.

The previous prime is 122100120199. The next prime is 122100120227. The reversal of 122100120212 is 212021001221.

122100120212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 14787532816 + 107312587396 = 121604^2 + 327586^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 3301262 + ... + 3338042.

It is an arithmetic number, because the mean of its divisors is an integer number (6905066469).

Almost surely, 2122100120212 is an apocalyptic number.

It is an amenable number.

122100120212 is an abundant number, since it is smaller than the sum of its proper divisors (126482272672).

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

122100120212 is a wasteful number, since it uses less digits than its factorization.

122100120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53736 (or 53727 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122100120212 its reverse (212021001221), we get a palindrome (334121121433).

The spelling of 122100120212 in words is "one hundred twenty-two billion, one hundred million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 49 98 196 16937 33874 36781 67748 73562 118559 147124 237118 257467 474236 514934 829913 1029868 1659826 1802269 3319652 3604538 7209076 622959797 1245919594 2491839188 4360718579 8721437158 17442874316 30525030053 61050060106 122100120212