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121020111217 is a prime number
BaseRepresentation
bin111000010110101011…
…1000101100101110001
3102120101002200122000101
41300231113011211301
53440322122024332
6131332412552401
711512663654405
oct1605527054561
9376332618011
10121020111217
1147362774845
121b555482701
13b548646485
145c00a0b105
15323480aae7
hex1c2d5c5971

121020111217 has 2 divisors, whose sum is σ = 121020111218. Its totient is φ = 121020111216.

The previous prime is 121020111209. The next prime is 121020111257. The reversal of 121020111217 is 712111020121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103170082401 + 17850028816 = 321201^2 + 133604^2 .

It is a cyclic number.

It is not a de Polignac number, because 121020111217 - 23 = 121020111209 is a prime.

It is a super-3 number, since 3×1210201112173 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121020111194 and 121020111203.

It is not a weakly prime, because it can be changed into another prime (121020111257) 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, 60510055608 + 60510055609.

It is an arithmetic number, because the mean of its divisors is an integer number (60510055609).

Almost surely, 2121020111217 is an apocalyptic number.

It is an amenable number.

121020111217 is a deficient number, since it is larger than the sum of its proper divisors (1).

121020111217 is an equidigital number, since it uses as much as digits as its factorization.

121020111217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 121020111217 its reverse (712111020121), we get a palindrome (833131131338).

The spelling of 121020111217 in words is "one hundred twenty-one billion, twenty million, one hundred eleven thousand, two hundred seventeen".