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12122670609 = 32761072
BaseRepresentation
bin10110100101001000…
…10100011000010001
31011021211221110210100
423102210110120101
5144311400424414
65322530523013
7606261000000
oct132244243021
934254843710
1012122670609
115160a27945
122423a36469
1311b26b519a
14830030c37
154ae402609
hex2d2914611

12122670609 has 63 divisors (see below), whose sum is σ = 20621628937. Its totient is φ = 6862499784.

The previous prime is 12122670589. The next prime is 12122670629. The reversal of 12122670609 is 90607622121.

The square root of 12122670609 is 110103.

It is a perfect power (a square), and thus also a powerful number.

12122670609 is a `hidden beast` number, since 1 + 21 + 2 + 26 + 7 + 0 + 609 = 666.

It is an interprime number because it is at equal distance from previous prime (12122670589) and next prime (12122670629).

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 12122670609 - 25 = 12122670577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12122670629) 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 62 ways as a sum of consecutive naturals, for example, 113295934 + ... + 113296040.

Almost surely, 212122670609 is an apocalyptic number.

12122670609 is the 110103-rd square number.

12122670609 is the 55052-nd centered octagonal number.

It is an amenable number.

12122670609 is a deficient number, since it is larger than the sum of its proper divisors (8498958328).

12122670609 is an frugal number, since it uses more digits than its factorization.

12122670609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 12122670609 by its sum of digits (36), we get a square (436416141924 = 6606182).

The spelling of 12122670609 in words is "twelve billion, one hundred twenty-two million, six hundred seventy thousand, six hundred nine".

Divisors: 1 3 7 9 21 49 63 107 147 321 343 441 749 963 1029 2247 2401 3087 5243 6741 7203 11449 15729 16807 21609 34347 36701 47187 50421 80143 103041 110103 117649 151263 240429 256907 330309 352947 561001 721287 770721 1058841 1683003 1798349 2312163 3927007 5049009 5395047 11781021 12588443 16185141 27489049 35343063 37765329 82467147 113295987 192423343 247401441 577270029 1346963401 1731810087 4040890203 12122670609