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12122102012081 is a prime number
BaseRepresentation
bin1011000001100110010110…
…0101011001100010110001
31120220212021010112222210012
42300121211211121202301
53042102031103341311
641440452231544305
72360535663002015
oct260314545314261
946825233488705
1012122102012081
113953a55621796
12143941752b095
1369c15621a889
142dc9da176545
151604cc6d978b
hexb06659598b1

12122102012081 has 2 divisors, whose sum is σ = 12122102012082. Its totient is φ = 12122102012080.

The previous prime is 12122102012077. The next prime is 12122102012173. The reversal of 12122102012081 is 18021020122121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9030866419600 + 3091235592481 = 3005140^2 + 1758191^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122102012081 - 22 = 12122102012077 is a prime.

It is a super-2 number, since 2×121221020120812 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12122102012281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061051006040 + 6061051006041.

It is an arithmetic number, because the mean of its divisors is an integer number (6061051006041).

Almost surely, 212122102012081 is an apocalyptic number.

It is an amenable number.

12122102012081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122102012081 is an equidigital number, since it uses as much as digits as its factorization.

12122102012081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 23.

The spelling of 12122102012081 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, twelve thousand, eighty-one".