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20122012121201 is a prime number
BaseRepresentation
bin1001001001101000001010…
…11000100111100001110001
32122020122102121210110112122
410210310011120213201301
510114134340100334301
6110443531425204025
74144524134651564
oct444640530474161
978218377713478
1020122012121201
116458774298641
12230b945190615
13b2c6612ca663
144d7ca68d64db
1524d6467e581b
hex124d05627871

20122012121201 has 2 divisors, whose sum is σ = 20122012121202. Its totient is φ = 20122012121200.

The previous prime is 20122012121179. The next prime is 20122012121287. The reversal of 20122012121201 is 10212121022102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20118822130801 + 3189990400 = 4485401^2 + 56480^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20122012121201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20122012121201.

It is not a weakly prime, because it can be changed into another prime (20122012120201) 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 as a sum of consecutive naturals, namely, 10061006060600 + 10061006060601.

It is an arithmetic number, because the mean of its divisors is an integer number (10061006060601).

Almost surely, 220122012121201 is an apocalyptic number.

It is an amenable number.

20122012121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

20122012121201 is an equidigital number, since it uses as much as digits as its factorization.

20122012121201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 20122012121201 its reverse (10212121022102), we get a palindrome (30334133143303).

The spelling of 20122012121201 in words is "twenty trillion, one hundred twenty-two billion, twelve million, one hundred twenty-one thousand, two hundred one".