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12127692129 = 37341337853
BaseRepresentation
bin10110100101101110…
…11110010101100001
31011022012101121000120
423102313132111201
5144314142122004
65323230310453
7606351453000
oct132267362541
934265347016
1012127692129
115163847663
122425658429
1311b37529b7
1483097ac37
154aea953d9
hex2d2dde561

12127692129 has 64 divisors (see below), whose sum is σ = 19397414400. Its totient is φ = 6733117440.

The previous prime is 12127692121. The next prime is 12127692163. The reversal of 12127692129 is 92129672121.

It is not a de Polignac number, because 12127692129 - 23 = 12127692121 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12127692121) 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 in 63 ways as a sum of consecutive naturals, for example, 14217267 + ... + 14218119.

It is an arithmetic number, because the mean of its divisors is an integer number (303084600).

Almost surely, 212127692129 is an apocalyptic number.

It is an amenable number.

12127692129 is a deficient number, since it is larger than the sum of its proper divisors (7269722271).

12127692129 is an equidigital number, since it uses as much as digits as its factorization.

12127692129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1241 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The spelling of 12127692129 in words is "twelve billion, one hundred twenty-seven million, six hundred ninety-two thousand, one hundred twenty-nine".

Divisors: 1 3 7 21 41 49 123 147 287 337 343 853 861 1011 1029 2009 2359 2559 5971 6027 7077 13817 14063 16513 17913 34973 41451 41797 42189 49539 96719 104919 115591 125391 244811 287461 290157 292579 346773 677033 734433 862383 877737 1713677 2012227 2031099 4739231 5141031 6036681 11785901 11995739 14085589 14217693 35357703 35987217 42256767 82501307 98599123 247503921 295797369 577509149 1732527447 4042564043 12127692129