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12102129 = 36131277
BaseRepresentation
bin101110001010…
…100111110001
3211202212000000
4232022213301
511044232004
61111220213
7204603114
oct56124761
924685000
1012102129
116916566
124077669
132679630
14187057b
1510e0c39
hexb8a9f1

12102129 has 28 divisors (see below), whose sum is σ = 19555956. Its totient is φ = 7441632.

The previous prime is 12102127. The next prime is 12102133. The reversal of 12102129 is 92120121.

It can be written as a sum of positive squares in 2 ways, for example, as 4665600 + 7436529 = 2160^2 + 2727^2 .

It is not a de Polignac number, because 12102129 - 21 = 12102127 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12102127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8839 + ... + 10115.

It is an arithmetic number, because the mean of its divisors is an integer number (698427).

Almost surely, 212102129 is an apocalyptic number.

It is an amenable number.

12102129 is a deficient number, since it is larger than the sum of its proper divisors (7453827).

12102129 is an equidigital number, since it uses as much as digits as its factorization.

12102129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 12102129 is about 3478.8114349588. The cubic root of 12102129 is about 229.5905064021.

The spelling of 12102129 in words is "twelve million, one hundred two thousand, one hundred twenty-nine".

Divisors: 1 3 9 13 27 39 81 117 243 351 729 1053 1277 3159 3831 9477 11493 16601 34479 49803 103437 149409 310311 448227 930933 1344681 4034043 12102129