Search a number
-
+
121121249 is a prime number
BaseRepresentation
bin1110011100000…
…10100111100001
322102220121010012
413032002213201
5222001334444
620004014305
73000341114
oct716024741
9272817105
10121121249
1162408207
1234691395
131c12a3a2
141212c57b
15a977b9e
hex73829e1

121121249 has 2 divisors, whose sum is σ = 121121250. Its totient is φ = 121121248.

The previous prime is 121121237. The next prime is 121121251. The reversal of 121121249 is 942121121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96668224 + 24453025 = 9832^2 + 4945^2 .

It is a cyclic number.

It is not a de Polignac number, because 121121249 - 24 = 121121233 is a prime.

It is a Sophie Germain prime.

Together with 121121251, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (121121269) 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, 60560624 + 60560625.

It is an arithmetic number, because the mean of its divisors is an integer number (60560625).

Almost surely, 2121121249 is an apocalyptic number.

It is an amenable number.

121121249 is a deficient number, since it is larger than the sum of its proper divisors (1).

121121249 is an equidigital number, since it uses as much as digits as its factorization.

121121249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 23.

The square root of 121121249 is about 11005.5099382082. The cubic root of 121121249 is about 494.7738980311.

The spelling of 121121249 in words is "one hundred twenty-one million, one hundred twenty-one thousand, two hundred forty-nine".