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220110120000012 = 22311101143031154297
BaseRepresentation
bin110010000011000001100001…
…100000111001101000001100
31001212100022200201022011200010
4302003001201200321220030
5212322241011210000022
62100045105421233220
764235300652031224
oct6203014140715014
91055308621264603
10220110120000012
11641521a5532260
122082a995a02810
1395a83ab896728
143c4d55ad81084
151a6a88182350c
hexc83061839a0c

220110120000012 has 96 divisors (see below), whose sum is σ = 565867685505024. Its totient is φ = 66034965568000.

The previous prime is 220110119999977. The next prime is 220110120000019. The reversal of 220110120000012 is 210000021011022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (220110120000019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190110448 + ... + 191264744.

It is an arithmetic number, because the mean of its divisors is an integer number (5894455057344).

Almost surely, 2220110120000012 is an apocalyptic number.

220110120000012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220110120000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282933842752512).

220110120000012 is an abundant number, since it is smaller than the sum of its proper divisors (345757565505012).

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

220110120000012 is a wasteful number, since it uses less digits than its factorization.

220110120000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168719 (or 1168717 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220110120000012 its reverse (210000021011022), we get a palindrome (430110141011034).

The spelling of 220110120000012 in words is "two hundred twenty trillion, one hundred ten billion, one hundred twenty million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 13332 14303 28606 42909 57212 85818 157333 171636 314666 471999 629332 943998 1154297 1444603 1887996 2308594 2889206 3462891 4333809 4617188 5778412 6925782 8667618 12697267 13851564 15890633 17335236 25394534 31781266 38091801 47671899 50789068 63562532 76183602 95343798 116583997 152367204 190687596 233167994 349751991 466335988 699503982 1282423967 1399007964 2564847934 3847271901 5129695868 7694543802 15389087604 16509909991 33019819982 49529729973 66039639964 99059459946 181609009901 198118919892 363218019802 544827029703 726436039604 1089654059406 1667500909091 2179308118812 3335001818182 5002502727273 6670003636364 10005005454546 18342510000001 20010010909092 36685020000002 55027530000003 73370040000004 110055060000006 220110120000012