Search a number
-
+
121213129 is a prime number
BaseRepresentation
bin1110011100110…
…01000011001001
322110002021011011
413032121003021
5222012310004
620010003521
73001203022
oct716310311
9273067134
10121213129
1162470244
12347165a1
131c16015b
1412153c49
15a995004
hex73990c9

121213129 has 2 divisors, whose sum is σ = 121213130. Its totient is φ = 121213128.

The previous prime is 121213063. The next prime is 121213163. The reversal of 121213129 is 921312121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72590400 + 48622729 = 8520^2 + 6973^2 .

It is an emirp because it is prime and its reverse (921312121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 121213129 - 29 = 121212617 is a prime.

It is not a weakly prime, because it can be changed into another prime (121213189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60606564 + 60606565.

It is an arithmetic number, because the mean of its divisors is an integer number (60606565).

Almost surely, 2121213129 is an apocalyptic number.

It is an amenable number.

121213129 is a deficient number, since it is larger than the sum of its proper divisors (1).

121213129 is an equidigital number, since it uses as much as digits as its factorization.

121213129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 22.

The square root of 121213129 is about 11009.6834196084. The cubic root of 121213129 is about 494.8989747236.

It can be divided in two parts, 1212 and 13129, that added together give a palindrome (14341).

The spelling of 121213129 in words is "one hundred twenty-one million, two hundred thirteen thousand, one hundred twenty-nine".