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121211220121009 is a prime number
BaseRepresentation
bin11011100011110110101111…
…101101111101010110110001
3120220011200100100010100102021
4123203312233231331112301
5111341411034322333014
61105443355451351441
734350136013302234
oct3343665755752661
9526150310110367
10121211220121009
1135692431874287
1211717668452581
13528322741c825
1421d09237a741b
15e02eae3b1624
hex6e3dafb7d5b1

121211220121009 has 2 divisors, whose sum is σ = 121211220121010. Its totient is φ = 121211220121008.

The previous prime is 121211220121003. The next prime is 121211220121027. The reversal of 121211220121009 is 900121022112121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93298753720384 + 27912466400625 = 9659128^2 + 5283225^2 .

It is a cyclic number.

It is not a de Polignac number, because 121211220121009 - 231 = 121209072637361 is a prime.

It is not a weakly prime, because it can be changed into another prime (121211220121003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60605610060504 + 60605610060505.

It is an arithmetic number, because the mean of its divisors is an integer number (60605610060505).

Almost surely, 2121211220121009 is an apocalyptic number.

It is an amenable number.

121211220121009 is a deficient number, since it is larger than the sum of its proper divisors (1).

121211220121009 is an equidigital number, since it uses as much as digits as its factorization.

121211220121009 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 25.

The spelling of 121211220121009 in words is "one hundred twenty-one trillion, two hundred eleven billion, two hundred twenty million, one hundred twenty-one thousand, nine".