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12130181760 = 27356317803
BaseRepresentation
bin10110100110000001…
…11110001010000000
31011022101002002011010
423103000332022000
5144320311304020
65323355520520
7606411562254
oct132300761200
934271062133
1012130181760
115165198104
122426459140
1311b4114c58
14831028264
154aedd7de0
hex2d303e280

12130181760 has 64 divisors (see below), whose sum is σ = 38664960480. Its totient is φ = 3234714624.

The previous prime is 12130181737. The next prime is 12130181863. The reversal of 12130181760 is 6718103121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3156982 + ... + 3160821.

Almost surely, 212130181760 is an apocalyptic number.

12130181760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12130181760 is an abundant number, since it is smaller than the sum of its proper divisors (26534778720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12130181760 is an equidigital number, since it uses as much as digits as its factorization.

12130181760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6317825 (or 6317813 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

Adding to 12130181760 its reverse (6718103121), we get a palindrome (18848284881).

The spelling of 12130181760 in words is "twelve billion, one hundred thirty million, one hundred eighty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 6317803 12635606 18953409 25271212 31589015 37906818 50542424 63178030 75813636 94767045 101084848 126356060 151627272 189534090 202169696 252712120 303254544 379068180 404339392 505424240 606509088 758136360 808678784 1010848480 1213018176 1516272720 2021696960 2426036352 3032545440 4043393920 6065090880 12130181760