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12121120261 is a prime number
BaseRepresentation
bin10110100100111100…
…11001111000000101
31011021202000201010001
423102132121320011
5144311001322021
65322433401301
7606241552015
oct132236317005
934252021101
1012121120261
115160069068
122423409231
1311b2291613
1482db49c45
154ae1e8091
hex2d2799e05

12121120261 has 2 divisors, whose sum is σ = 12121120262. Its totient is φ = 12121120260.

The previous prime is 12121120247. The next prime is 12121120327. The reversal of 12121120261 is 16202112121.

12121120261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8465104036 + 3656016225 = 92006^2 + 60465^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121120261 - 225 = 12087565829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12121520261) 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, 6060560130 + 6060560131.

It is an arithmetic number, because the mean of its divisors is an integer number (6060560131).

Almost surely, 212121120261 is an apocalyptic number.

It is an amenable number.

12121120261 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121120261 is an equidigital number, since it uses as much as digits as its factorization.

12121120261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 12121120261 its reverse (16202112121), we get a palindrome (28323232382).

The spelling of 12121120261 in words is "twelve billion, one hundred twenty-one million, one hundred twenty thousand, two hundred sixty-one".