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12010102000120 = 23572910314359967
BaseRepresentation
bin1010111011000101000111…
…0111010000100111111000
31120112011011122202212210001
42232301101313100213320
53033233142103000440
641313210435002344
72346462344416630
oct256612167204770
946464148685701
1012010102000120
113910501527034
12141b77aa393b4
13691717571053
142d74134d36c0
1515c624c2ab9a
hexaec51dd09f8

12010102000120 has 128 divisors (see below), whose sum is σ = 32258232115200. Its totient is φ = 3937158038016.

The previous prime is 12010102000109. The next prime is 12010102000147. The reversal of 12010102000120 is 2100020101021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12010102000097 and 12010102000106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6343624 + ... + 8016343.

It is an arithmetic number, because the mean of its divisors is an integer number (252017438400).

Almost surely, 212010102000120 is an apocalyptic number.

12010102000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010102000120 is an abundant number, since it is smaller than the sum of its proper divisors (20248130115080).

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

12010102000120 is a wasteful number, since it uses less digits than its factorization.

12010102000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14360117 (or 14360113 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12010102000120 its reverse (2100020101021), we get a palindrome (14110122101141).

The spelling of 12010102000120 in words is "twelve trillion, ten billion, one hundred two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 103 116 140 145 203 206 232 280 290 406 412 515 580 721 812 824 1015 1030 1160 1442 1624 2030 2060 2884 2987 3605 4060 4120 5768 5974 7210 8120 11948 14420 14935 20909 23896 28840 29870 41818 59740 83636 104545 119480 167272 209090 418180 836360 14359967 28719934 57439868 71799835 100519769 114879736 143599670 201039538 287199340 402079076 416439043 502598845 574398680 804158152 832878086 1005197690 1479076601 1665756172 2010395380 2082195215 2915073301 2958153202 3331512344 4020790760 4164390430 5830146602 5916306404 7395383005 8328780860 10353536207 11660293204 11832612808 14575366505 14790766010 16657561720 20707072414 23320586408 29150733010 29581532020 41414144828 42893221429 51767681035 58301466020 59163064040 82828289656 85786442858 103535362070 116602932040 171572885716 207070724140 214466107145 300252550003 343145771432 414141448280 428932214290 600505100006 857864428580 1201010200012 1501262750015 1715728857160 2402020400024 3002525500030 6005051000060 12010102000120