Search a number
-
+
120042124289 is a prime number
BaseRepresentation
bin110111111001100010…
…0010111010000000001
3102110211221102202011022
41233303010113100001
53431321240434124
6131051355155225
711446520135513
oct1576304272001
9373757382138
10120042124289
1146a0071678a
121b321a45b15
13b420b45a99
145b4ab8dbb3
1531c8a26c5e
hex1bf3117401

120042124289 has 2 divisors, whose sum is σ = 120042124290. Its totient is φ = 120042124288.

The previous prime is 120042124247. The next prime is 120042124403. The reversal of 120042124289 is 982421240021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111027571264 + 9014553025 = 333208^2 + 94945^2 .

It is a cyclic number.

It is not a de Polignac number, because 120042124289 - 212 = 120042120193 is a prime.

It is a super-2 number, since 2×1200421242892 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (120042124219) 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, 60021062144 + 60021062145.

It is an arithmetic number, because the mean of its divisors is an integer number (60021062145).

Almost surely, 2120042124289 is an apocalyptic number.

It is an amenable number.

120042124289 is a deficient number, since it is larger than the sum of its proper divisors (1).

120042124289 is an equidigital number, since it uses as much as digits as its factorization.

120042124289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 120042124289 in words is "one hundred twenty billion, forty-two million, one hundred twenty-four thousand, two hundred eighty-nine".