Search a number
-
+
12123114719 is a prime number
BaseRepresentation
bin10110100101001100…
…00000110011011111
31011021212210000222212
423102212000303133
5144312004132334
65322544231035
7606264526532
oct132246006337
934255700885
1012123114719
115161200581
12242400b47b
1311b280c381
14830108a19
154ae48dece
hex2d2980cdf

12123114719 has 2 divisors, whose sum is σ = 12123114720. Its totient is φ = 12123114718.

The previous prime is 12123114677. The next prime is 12123114721. The reversal of 12123114719 is 91741132121.

12123114719 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12123114719 is a prime.

It is a super-2 number, since 2×121231147192 (a number of 21 digits) contains 22 as substring.

Together with 12123114721, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12123114779) 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, 6061557359 + 6061557360.

It is an arithmetic number, because the mean of its divisors is an integer number (6061557360).

Almost surely, 212123114719 is an apocalyptic number.

12123114719 is a deficient number, since it is larger than the sum of its proper divisors (1).

12123114719 is an equidigital number, since it uses as much as digits as its factorization.

12123114719 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 32.

The spelling of 12123114719 in words is "twelve billion, one hundred twenty-three million, one hundred fourteen thousand, seven hundred nineteen".