Search a number
-
+
121844954129 is a prime number
BaseRepresentation
bin111000101111010000…
…1100111010000010001
3102122111120202222202212
41301132201213100101
53444014302013004
6131550320121505
711542301010263
oct1613641472021
9378446688685
10121844954129
11477463334a8
121b745766295
13b64a4b6bc2
145c7c3a1b33
153281e3d96e
hex1c5e867411

121844954129 has 2 divisors, whose sum is σ = 121844954130. Its totient is φ = 121844954128.

The previous prime is 121844954117. The next prime is 121844954141. The reversal of 121844954129 is 921459448121.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (121844954117) and next prime (121844954141).

It can be written as a sum of positive squares in only one way, i.e., 106454070529 + 15390883600 = 326273^2 + 124060^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121844954129 is a prime.

It is a super-2 number, since 2×1218449541292 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (121846954129) 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, 60922477064 + 60922477065.

It is an arithmetic number, because the mean of its divisors is an integer number (60922477065).

Almost surely, 2121844954129 is an apocalyptic number.

It is an amenable number.

121844954129 is a deficient number, since it is larger than the sum of its proper divisors (1).

121844954129 is an equidigital number, since it uses as much as digits as its factorization.

121844954129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 829440, while the sum is 50.

The spelling of 121844954129 in words is "one hundred twenty-one billion, eight hundred forty-four million, nine hundred fifty-four thousand, one hundred twenty-nine".