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12112122601 is a prime number
BaseRepresentation
bin10110100011111000…
…00101001011101001
31011021010002120122101
423101330011023221
5144301200410401
65321512453401
7606102225535
oct132174051351
934233076571
1012112122601
115155a82a87
1224203aa261
1311b0461067
1482c886bc5
154ad51c101
hex2d1f052e9

12112122601 has 2 divisors, whose sum is σ = 12112122602. Its totient is φ = 12112122600.

The previous prime is 12112122541. The next prime is 12112122611. The reversal of 12112122601 is 10622121121.

12112122601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11920272400 + 191850201 = 109180^2 + 13851^2 .

It is a cyclic number.

It is not a de Polignac number, because 12112122601 - 29 = 12112122089 is a prime.

It is not a weakly prime, because it can be changed into another prime (12112122611) 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, 6056061300 + 6056061301.

It is an arithmetic number, because the mean of its divisors is an integer number (6056061301).

Almost surely, 212112122601 is an apocalyptic number.

It is an amenable number.

12112122601 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112122601 is an equidigital number, since it uses as much as digits as its factorization.

12112122601 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 12112122601 its reverse (10622121121), we get a palindrome (22734243722).

The spelling of 12112122601 in words is "twelve billion, one hundred twelve million, one hundred twenty-two thousand, six hundred one".