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121211000117 is a prime number
BaseRepresentation
bin111000011100010111…
…1010001010100110101
3102120212101212210100122
41300320233101110311
53441220004000432
6131403352221325
711520502333664
oct1607057212465
9376771783318
10121211000117
11474504a4469
121b5a939a845
13b57906069c
145c1c0daddb
153246465612
hex1c38bd1535

121211000117 has 2 divisors, whose sum is σ = 121211000118. Its totient is φ = 121211000116.

The previous prime is 121211000077. The next prime is 121211000171. The reversal of 121211000117 is 711000112121.

Together with next prime (121211000171) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115215440356 + 5995559761 = 339434^2 + 77431^2 .

It is a cyclic number.

It is not a de Polignac number, because 121211000117 - 212 = 121210996021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121211000095 and 121211000104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121211000177) 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, 60605500058 + 60605500059.

It is an arithmetic number, because the mean of its divisors is an integer number (60605500059).

Almost surely, 2121211000117 is an apocalyptic number.

It is an amenable number.

121211000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

121211000117 is an equidigital number, since it uses as much as digits as its factorization.

121211000117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 121211000117 its reverse (711000112121), we get a palindrome (832211112238).

The spelling of 121211000117 in words is "one hundred twenty-one billion, two hundred eleven million, one hundred seventeen", and thus it is an aban number.