Search a number
-
+
121123212253 is a prime number
BaseRepresentation
bin111000011001110000…
…0011000101111011101
3102120122021200201001021
41300303200120233131
53441030020243003
6131350534444141
711515355213461
oct1606340305735
9376567621037
10121123212253
114740599410a
121b583b03651
13b563b045c4
145c105a84a1
15323d8c42bd
hex1c33818bdd

121123212253 has 2 divisors, whose sum is σ = 121123212254. Its totient is φ = 121123212252.

The previous prime is 121123212209. The next prime is 121123212293. The reversal of 121123212253 is 352212321121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118307105764 + 2816106489 = 343958^2 + 53067^2 .

It is a cyclic number.

It is not a de Polignac number, because 121123212253 - 229 = 120586341341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121123212293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60561606126 + 60561606127.

It is an arithmetic number, because the mean of its divisors is an integer number (60561606127).

Almost surely, 2121123212253 is an apocalyptic number.

It is an amenable number.

121123212253 is a deficient number, since it is larger than the sum of its proper divisors (1).

121123212253 is an equidigital number, since it uses as much as digits as its factorization.

121123212253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1440, while the sum is 25.

Adding to 121123212253 its reverse (352212321121), we get a palindrome (473335533374).

The spelling of 121123212253 in words is "one hundred twenty-one billion, one hundred twenty-three million, two hundred twelve thousand, two hundred fifty-three".