Search a number
-
+
12121128001 is a prime number
BaseRepresentation
bin10110100100111100…
…11011110001000001
31011021202001002201201
423102132123301001
5144311002044001
65322433501201
7606241613413
oct132236336101
934252032651
1012121128001
115160073964
122423411801
1311b2294cb8
1482db4c9b3
154ae1ea501
hex2d279bc41

12121128001 has 2 divisors, whose sum is σ = 12121128002. Its totient is φ = 12121128000.

The previous prime is 12121127989. The next prime is 12121128007. The reversal of 12121128001 is 10082112121.

12121128001 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., 10445044401 + 1676083600 = 102201^2 + 40940^2 .

It is an emirp because it is prime and its reverse (10082112121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12121128001 - 27 = 12121127873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12121128001.

It is not a weakly prime, because it can be changed into another prime (12121128007) 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, 6060564000 + 6060564001.

It is an arithmetic number, because the mean of its divisors is an integer number (6060564001).

Almost surely, 212121128001 is an apocalyptic number.

It is an amenable number.

12121128001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121128001 is an equidigital number, since it uses as much as digits as its factorization.

12121128001 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 19.

The spelling of 12121128001 in words is "twelve billion, one hundred twenty-one million, one hundred twenty-eight thousand, one".