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12222012102000 = 243534019506843
BaseRepresentation
bin1011000111011010100010…
…1100001001010101110000
31121021102011001000102120220
42301312220230021111300
53100221140044231000
641554414223533040
72401003565521011
oct261665054112560
947242131012526
1012222012102000
113992365228038
12145485b15a180
136a86b920a28c
143037972b1008
15162dc8ab41a0
hexb1da8b09570

12222012102000 has 160 divisors (see below), whose sum is σ = 39413649150720. Its totient is φ = 3258385849600.

The previous prime is 12222012101989. The next prime is 12222012102031. The reversal of 12222012102000 is 20121022221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 23860579 + ... + 24367421.

It is an arithmetic number, because the mean of its divisors is an integer number (246335307192).

Almost surely, 212222012102000 is an apocalyptic number.

12222012102000 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 12222012102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19706824575360).

12222012102000 is an abundant number, since it is smaller than the sum of its proper divisors (27191637048720).

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

12222012102000 is a wasteful number, since it uses less digits than its factorization.

12222012102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510888 (or 510872 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12222012102000 its reverse (20121022221), we get a palindrome (12242133124221).

The spelling of 12222012102000 in words is "twelve trillion, two hundred twenty-two billion, twelve million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 4019 6000 8038 12057 16076 20095 24114 32152 40190 48228 60285 64304 80380 96456 100475 120570 160760 192912 200950 241140 301425 321520 401900 482280 502375 506843 602850 803800 964560 1004750 1013686 1205700 1507125 1520529 1607600 2009500 2027372 2411400 2534215 3014250 3041058 4019000 4054744 4822800 5068430 6028500 6082116 7602645 8038000 8109488 10136860 12057000 12164232 12671075 15205290 20273720 24114000 24328464 25342150 30410580 38013225 40547440 50684300 60821160 63355375 76026450 101368600 121642320 126710750 152052900 190066125 202737200 253421500 304105800 380132250 506843000 608211600 760264500 1013686000 1520529000 2037002017 3041058000 4074004034 6111006051 8148008068 10185010085 12222012102 16296016136 20370020170 24444024204 30555030255 32592032272 40740040340 48888048408 50925050425 61110060510 81480080680 97776096816 101850100850 122220121020 152775151275 162960161360 203700201700 244440242040 254625252125 305550302550 407400403400 488880484080 509250504250 611100605100 763875756375 814800806800 1018501008500 1222201210200 1527751512750 2037002017000 2444402420400 3055503025500 4074004034000 6111006051000 12222012102000