Search a number
-
+
12121140401 is a prime number
BaseRepresentation
bin10110100100111100…
…11110110010110001
31011021202001201201222
423102132132302301
5144311002443101
65322434034425
7606241664516
oct132236366261
934252051658
1012121140401
115160082207
122423418a15
1311b229a836
1482db5330d
154ae1ee01b
hex2d279ecb1

12121140401 has 2 divisors, whose sum is σ = 12121140402. Its totient is φ = 12121140400.

The previous prime is 12121140397. The next prime is 12121140413. The reversal of 12121140401 is 10404112121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10096230400 + 2024910001 = 100480^2 + 44999^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121140401 - 22 = 12121140397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12121140401.

It is not a weakly prime, because it can be changed into another prime (12121140431) 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, 6060570200 + 6060570201.

It is an arithmetic number, because the mean of its divisors is an integer number (6060570201).

Almost surely, 212121140401 is an apocalyptic number.

It is an amenable number.

12121140401 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121140401 is an equidigital number, since it uses as much as digits as its factorization.

12121140401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12121140401 its reverse (10404112121), we get a palindrome (22525252522).

The spelling of 12121140401 in words is "twelve billion, one hundred twenty-one million, one hundred forty thousand, four hundred one".