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12122102020013 is a prime number
BaseRepresentation
bin1011000001100110010110…
…0101011011011110101101
31120220212021010120101122222
42300121211211123132231
53042102031104120023
641440452232045125
72360535663034106
oct260314545333655
946825233511588
1012122102020013
113953a55627747
1214394175337a5
1369c15622137b
142dc9da1793ad
151604cc6dbcc8
hexb066595b7ad

12122102020013 has 2 divisors, whose sum is σ = 12122102020014. Its totient is φ = 12122102020012.

The previous prime is 12122102020009. The next prime is 12122102020037. The reversal of 12122102020013 is 31002020122121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6988420047844 + 5133681972169 = 2643562^2 + 2265763^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122102020013 - 22 = 12122102020009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122102019973 and 12122102020000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122102020073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061051010006 + 6061051010007.

It is an arithmetic number, because the mean of its divisors is an integer number (6061051010007).

Almost surely, 212122102020013 is an apocalyptic number.

It is an amenable number.

12122102020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122102020013 is an equidigital number, since it uses as much as digits as its factorization.

12122102020013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12122102020013 its reverse (31002020122121), we get a palindrome (43124122142134).

The spelling of 12122102020013 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, twenty thousand, thirteen".