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12110010120 = 23325132587609
BaseRepresentation
bin10110100011101000…
…00001011100001000
31011020222010020212100
423101310001130020
5144300130310440
65321355313400
7606045246645
oct132164013410
934228106770
1012110010120
11515486a92a
12241b74b860
1311acba1680
1482c496dcc
154ad251230
hex2d1d01708

12110010120 has 96 divisors (see below), whose sum is σ = 42385051800. Its totient is φ = 2980924416.

The previous prime is 12110010119. The next prime is 12110010137. The reversal of 12110010120 is 2101001121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9330400836 + 2779609284 = 96594^2 + 52722^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 23 ways as a sum of consecutive naturals, for example, 1289125 + ... + 1298484.

Almost surely, 212110010120 is an apocalyptic number.

12110010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110010120 is an abundant number, since it is smaller than the sum of its proper divisors (30275041680).

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

12110010120 is a wasteful number, since it uses less digits than its factorization.

12110010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587639 (or 2587632 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12110010120 its reverse (2101001121), we get a palindrome (14211011241).

The spelling of 12110010120 in words is "twelve billion, one hundred ten million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 2587609 5175218 7762827 10350436 12938045 15525654 20700872 23288481 25876090 31051308 33638917 38814135 46576962 51752180 62102616 67277834 77628270 93153924 100916751 103504360 116442405 134555668 155256540 168194585 186307848 201833502 232884810 269111336 302750253 310513080 336389170 403667004 465769620 504583755 605500506 672778340 807334008 931539240 1009167510 1211001012 1345556680 1513751265 2018335020 2422002024 3027502530 4036670040 6055005060 12110010120