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12122234881 is a prime number
BaseRepresentation
bin10110100101000101…
…01010000000000001
31011021211010100002021
423102202222000001
5144311243004011
65322513321441
7606254203441
oct132242520001
934254110067
1012122234881
11516075a539
122423866281
1311b2591a63
1482dd5a121
154ae368471
hex2d28aa001

12122234881 has 2 divisors, whose sum is σ = 12122234882. Its totient is φ = 12122234880.

The previous prime is 12122234879. The next prime is 12122234959. The reversal of 12122234881 is 18843222121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10415223025 + 1707011856 = 102055^2 + 41316^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122234881 - 21 = 12122234879 is a prime.

It is a super-2 number, since 2×121222348812 (a number of 21 digits) contains 22 as substring.

Together with 12122234879, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12122234281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061117440 + 6061117441.

It is an arithmetic number, because the mean of its divisors is an integer number (6061117441).

Almost surely, 212122234881 is an apocalyptic number.

It is an amenable number.

12122234881 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122234881 is an equidigital number, since it uses as much as digits as its factorization.

12122234881 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12288, while the sum is 34.

It can be divided in two parts, 1212223488 and 1, that added together give a square (1212223489 = 348172).

The spelling of 12122234881 in words is "twelve billion, one hundred twenty-two million, two hundred thirty-four thousand, eight hundred eighty-one".