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12121110061 is a prime number
BaseRepresentation
bin10110100100111100…
…10111011000101101
31011021202000012010021
423102132113120231
5144311001010221
65322433242141
7606241510204
oct132236273055
934252005107
1012121110061
115160061435
122423403351
1311b2289a98
1482db4623b
154ae1e5041
hex2d279762d

12121110061 has 2 divisors, whose sum is σ = 12121110062. Its totient is φ = 12121110060.

The previous prime is 12121109951. The next prime is 12121110137. The reversal of 12121110061 is 16001112121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10026217161 + 2094892900 = 100131^2 + 45770^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121110061 - 27 = 12121109933 is a prime.

It is a super-2 number, since 2×121211100612 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12121110461) 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, 6060555030 + 6060555031.

It is an arithmetic number, because the mean of its divisors is an integer number (6060555031).

Almost surely, 212121110061 is an apocalyptic number.

It is an amenable number.

12121110061 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121110061 is an equidigital number, since it uses as much as digits as its factorization.

12121110061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 12121110061 its reverse (16001112121), we get a palindrome (28122222182).

The spelling of 12121110061 in words is "twelve billion, one hundred twenty-one million, one hundred ten thousand, sixty-one".