Search a number
-
+
12330123300121 = 1131714159249737
BaseRepresentation
bin1011001101101101010010…
…0111101000110100011001
31121122202012111022022212211
42303123110213220310121
53104004043031100441
642120214102035121
72411551643531314
oct263332447506431
947582174268784
1012330123300121
113a241a3180360
1214717b1418aa1
136b59582c4623
14308ad16a397b
15165b04e61a81
hexb36d49e8d19

12330123300121 has 16 divisors (see below), whose sum is σ = 13494482945280. Its totient is φ = 11173008830080.

The previous prime is 12330123300097. The next prime is 12330123300211. The reversal of 12330123300121 is 12100332103321.

It is a cyclic number.

It is not a de Polignac number, because 12330123300121 - 215 = 12330123267353 is a prime.

It is a super-2 number, since 2×123301233001212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12330123300092 and 12330123300101.

It is not an unprimeable number, because it can be changed into a prime (12330123306121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49247565 + ... + 49497301.

It is an arithmetic number, because the mean of its divisors is an integer number (843405184080).

Almost surely, 212330123300121 is an apocalyptic number.

12330123300121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12330123300121 is a deficient number, since it is larger than the sum of its proper divisors (1164359645159).

12330123300121 is a wasteful number, since it uses less digits than its factorization.

12330123300121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264224.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12330123300121 its reverse (12100332103321), we get a palindrome (24430455403442).

The spelling of 12330123300121 in words is "twelve trillion, three hundred thirty billion, one hundred twenty-three million, three hundred thousand, one hundred twenty-one".

Divisors: 1 11 317 3487 14159 155749 249737 2747107 4488403 49372433 79166629 870832919 3536026183 38896288013 1120920300011 12330123300121