Search a number
-
+
122412530441 is a prime number
BaseRepresentation
bin111001000000001011…
…0101111101100001001
3102200222010202212002202
41302000112233230021
54001200101433231
6132122513205545
711562332224565
oct1620026575411
9380863685082
10122412530441
1147a07755a33
121b8838608b5
13b70ac6c586
145cd39086a5
1532b6ba45cb
hex1c805afb09

122412530441 has 2 divisors, whose sum is σ = 122412530442. Its totient is φ = 122412530440.

The previous prime is 122412530399. The next prime is 122412530447. The reversal of 122412530441 is 144035214221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120950232841 + 1462297600 = 347779^2 + 38240^2 .

It is an emirp because it is prime and its reverse (144035214221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122412530441 - 226 = 122345421577 is a prime.

It is a super-4 number, since 4×1224125304414 (a number of 45 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (122412530447) 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, 61206265220 + 61206265221.

It is an arithmetic number, because the mean of its divisors is an integer number (61206265221).

Almost surely, 2122412530441 is an apocalyptic number.

It is an amenable number.

122412530441 is a deficient number, since it is larger than the sum of its proper divisors (1).

122412530441 is an equidigital number, since it uses as much as digits as its factorization.

122412530441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 122412530441 its reverse (144035214221), we get a palindrome (266447744662).

The spelling of 122412530441 in words is "one hundred twenty-two billion, four hundred twelve million, five hundred thirty thousand, four hundred forty-one".