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121220011217 is a prime number
BaseRepresentation
bin111000011100101000…
…1101001010011010001
3102120220000211121021002
41300321101221103101
53441224310324332
6131404313311345
711520642044264
oct1607121512321
9376800747232
10121220011217
1147455599658
121b5b0405555
13b57ab970b6
145c1d3a4cdb
153247145562
hex1c394694d1

121220011217 has 2 divisors, whose sum is σ = 121220011218. Its totient is φ = 121220011216.

The previous prime is 121220011201. The next prime is 121220011259. The reversal of 121220011217 is 712110022121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117940043776 + 3279967441 = 343424^2 + 57271^2 .

It is a cyclic number.

It is not a de Polignac number, because 121220011217 - 24 = 121220011201 is a prime.

It is a super-2 number, since 2×1212200112172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (121222011217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60610005608 + 60610005609.

It is an arithmetic number, because the mean of its divisors is an integer number (60610005609).

Almost surely, 2121220011217 is an apocalyptic number.

It is an amenable number.

121220011217 is a deficient number, since it is larger than the sum of its proper divisors (1).

121220011217 is an equidigital number, since it uses as much as digits as its factorization.

121220011217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 121220011217 its reverse (712110022121), we get a palindrome (833330033338).

The spelling of 121220011217 in words is "one hundred twenty-one billion, two hundred twenty million, eleven thousand, two hundred seventeen".