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12112222121000 = 235383853171079
BaseRepresentation
bin1011000001000001100010…
…1100100110110000101000
31120212220202120210112010022
42300100120230212300220
53041421312330333000
641432140015340012
72360036104213601
oct260203054466050
946786676715108
1012112222121000
11394a845693351
12143751a821608
1369b240394a91
142dc33dd5ada8
15160100154585
hexb0418b26c28

12112222121000 has 128 divisors (see below), whose sum is σ = 28717872019200. Its totient is φ = 4780877356800.

The previous prime is 12112222120993. The next prime is 12112222121039. The reversal of 12112222121000 is 12122221121.

It is a self number, because there is not a number n which added to its sum of digits gives 12112222121000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70713461 + ... + 70884539.

It is an arithmetic number, because the mean of its divisors is an integer number (224358375150).

Almost surely, 212112222121000 is an apocalyptic number.

12112222121000 is a gapful number since it is divisible by the number (10) 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 12112222121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14358936009600).

12112222121000 is an abundant number, since it is smaller than the sum of its proper divisors (16605649898200).

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

12112222121000 is a wasteful number, since it uses less digits than its factorization.

12112222121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172036 (or 172022 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12112222121000 its reverse (12122221121), we get a palindrome (12124344342121).

The spelling of 12112222121000 in words is "twelve trillion, one hundred twelve billion, two hundred twenty-two million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 200 250 332 415 500 664 830 853 1000 1660 1706 2075 3320 3412 4150 4265 6824 8300 8530 10375 16600 17060 20750 21325 34120 41500 42650 70799 83000 85300 106625 141598 170600 171079 213250 283196 342158 353995 426500 566392 684316 707990 853000 855395 1368632 1415980 1710790 1769975 2831960 3421580 3539950 4276975 6843160 7079900 8553950 8849875 14159800 14199557 17107900 17699750 21384875 28399114 34215800 35399500 42769750 56798228 70799000 70997785 85539500 113596456 141995570 145930387 171079000 283991140 291860774 354988925 567982280 583721548 709977850 729651935 1167443096 1419955700 1459303870 1774944625 2839911400 2918607740 3549889250 3648259675 5837215480 7099778500 7296519350 12112222121 14199557000 14593038700 18241298375 24224444242 29186077400 36482596750 48448888484 60561110605 72965193500 96897776968 121122221210 145930387000 242244442420 302805553025 484488884840 605611106050 1211222212100 1514027765125 2422444424200 3028055530250 6056111060500 12112222121000