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12222021002000 = 2453311759112069
BaseRepresentation
bin1011000111011010100100…
…1110000110001100010000
31121021102011122202121002112
42301312221032012030100
53100221144334031000
641554415142404452
72401004034256355
oct261665116061420
947242148677075
1012222021002000
11399236a256807
121454862130728
136a86bb005254
1430379854a62c
15162dc9771235
hexb1da9386310

12222021002000 has 160 divisors (see below), whose sum is σ = 30523779686400. Its totient is φ = 4728373056000.

The previous prime is 12222021001999. The next prime is 12222021002041. The reversal of 12222021002000 is 20012022221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109001966 + ... + 109114034.

It is an arithmetic number, because the mean of its divisors is an integer number (190773623040).

Almost surely, 212222021002000 is an apocalyptic number.

12222021002000 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 12222021002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15261889843200).

12222021002000 is an abundant number, since it is smaller than the sum of its proper divisors (18301758684400).

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

12222021002000 is a wasteful number, since it uses less digits than its factorization.

12222021002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113882 (or 113866 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12222021002000 its reverse (20012022221), we get a palindrome (12242033024221).

The spelling of 12222021002000 in words is "twelve trillion, two hundred twenty-two billion, twenty-one million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 1000 1240 1550 1759 2000 2480 3100 3518 3875 6200 7036 7750 8795 12400 14072 15500 17590 28144 31000 35180 43975 54529 62000 70360 87950 109058 112069 140720 175900 218116 219875 224138 272645 351800 436232 439750 448276 545290 560345 703600 872464 879500 896552 1090580 1120690 1363225 1759000 1793104 2181160 2241380 2726450 2801725 3474139 3518000 4362320 4482760 5452900 5603450 6816125 6948278 8965520 10905800 11206900 13632250 13896556 14008625 17370695 21811600 22413800 27264500 27793112 28017250 34741390 44827600 54529000 55586224 56034500 69482780 86853475 109058000 112069000 138965560 173706950 197129371 224138000 277931120 347413900 394258742 434267375 694827800 788517484 868534750 985646855 1389655600 1577034968 1737069500 1971293710 3154069936 3474139000 3942587420 4928234275 6111010501 6948278000 7885174840 9856468550 12222021002 15770349680 19712937100 24444042004 24641171375 30555052505 39425874200 48888084008 49282342750 61110105010 78851748400 97776168016 98564685500 122220210020 152775262525 197129371000 244440420040 305550525050 394258742000 488880840080 611101050100 763876312625 1222202100200 1527752625250 2444404200400 3055505250500 6111010501000 12222021002000