Search a number
-
+
12122102020009 is a prime number
BaseRepresentation
bin1011000001100110010110…
…0101011011011110101001
31120220212021010120101122211
42300121211211123132221
53042102031104120014
641440452232045121
72360535663034102
oct260314545333651
946825233511584
1012122102020009
113953a55627743
1214394175337a1
1369c156221377
142dc9da1793a9
151604cc6dbcc4
hexb066595b7a9

12122102020009 has 2 divisors, whose sum is σ = 12122102020010. Its totient is φ = 12122102020008.

The previous prime is 12122102019901. The next prime is 12122102020013. The reversal of 12122102020009 is 90002020122121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10904709763984 + 1217392256025 = 3302228^2 + 1103355^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12122102020009 is a prime.

It is not a weakly prime, because it can be changed into another prime (12122102020109) by changing a digit.

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 as a sum of consecutive naturals, namely, 6061051010004 + 6061051010005.

It is an arithmetic number, because the mean of its divisors is an integer number (6061051010005).

Almost surely, 212122102020009 is an apocalyptic number.

It is an amenable number.

12122102020009 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122102020009 is an equidigital number, since it uses as much as digits as its factorization.

12122102020009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 12122102020009 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, twenty thousand, nine".