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12211102129 is a prime number
BaseRepresentation
bin10110101111101011…
…01010000110110001
31011112000100021000211
423113311222012301
5200002020232004
65335410144121
7611413440562
oct132765520661
934460307024
1012211102129
1151a6937846
122449582041
1311c7b08225
1483ba90169
154b706e504
hex2d7d6a1b1

12211102129 has 2 divisors, whose sum is σ = 12211102130. Its totient is φ = 12211102128.

The previous prime is 12211102121. The next prime is 12211102171. The reversal of 12211102129 is 92120111221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12067461904 + 143640225 = 109852^2 + 11985^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211102129 - 23 = 12211102121 is a prime.

It is a super-2 number, since 2×122111021292 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12211102121) 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, 6105551064 + 6105551065.

It is an arithmetic number, because the mean of its divisors is an integer number (6105551065).

Almost surely, 212211102129 is an apocalyptic number.

It is an amenable number.

12211102129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211102129 is an equidigital number, since it uses as much as digits as its factorization.

12211102129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 12211102129 in words is "twelve billion, two hundred eleven million, one hundred two thousand, one hundred twenty-nine".