Search a number
-
+
12251211289 is a prime number
BaseRepresentation
bin10110110100011101…
…01010011000011001
31011121210211000110021
423122032222120121
5200042302230124
65343401550441
7612411402112
oct133216523031
934553730407
1012251211289
115217542409
12245aaa5421
13120320c665
14843131209
154ba8437e4
hex2da3aa619

12251211289 has 2 divisors, whose sum is σ = 12251211290. Its totient is φ = 12251211288.

The previous prime is 12251211283. The next prime is 12251211359. The reversal of 12251211289 is 98211215221.

It is a happy number.

12251211289 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., 10881619225 + 1369592064 = 104315^2 + 37008^2 .

It is a cyclic number.

It is not a de Polignac number, because 12251211289 - 211 = 12251209241 is a prime.

It is not a weakly prime, because it can be changed into another prime (12251211283) 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, 6125605644 + 6125605645.

It is an arithmetic number, because the mean of its divisors is an integer number (6125605645).

Almost surely, 212251211289 is an apocalyptic number.

It is an amenable number.

12251211289 is a deficient number, since it is larger than the sum of its proper divisors (1).

12251211289 is an equidigital number, since it uses as much as digits as its factorization.

12251211289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5760, while the sum is 34.

The spelling of 12251211289 in words is "twelve billion, two hundred fifty-one million, two hundred eleven thousand, two hundred eighty-nine".