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12022010003000 = 2353172692628911
BaseRepresentation
bin1010111011110001011110…
…1000101011111000111000
31120120021220112210002210202
42232330113220223320320
53033432034030044000
641322500220501332
72350363420652324
oct256742750537070
946507815702722
1012022010003000
113915562262928
121421b429aa848
136928946348ba
142d7c22c04984
1515cac0377dd5
hexaef17a2be38

12022010003000 has 128 divisors (see below), whose sum is σ = 29897038828800. Its totient is φ = 4509106432000.

The previous prime is 12022010002993. The next prime is 12022010003041. The reversal of 12022010003000 is 30001022021.

It is a happy number.

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, 3258545 + ... + 5887455.

It is an arithmetic number, because the mean of its divisors is an integer number (233570615850).

Almost surely, 212022010003000 is an apocalyptic number.

12022010003000 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 12022010003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14948519414400).

12022010003000 is an abundant number, since it is smaller than the sum of its proper divisors (17875028825800).

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

12022010003000 is a wasteful number, since it uses less digits than its factorization.

12022010003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629218 (or 2629204 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 12022010003000 its reverse (30001022021), we get a palindrome (12052011025021).

The spelling of 12022010003000 in words is "twelve trillion, twenty-two billion, ten million, three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 269 340 425 500 538 680 850 1000 1076 1345 1700 2125 2152 2690 3400 4250 4573 5380 6725 8500 9146 10760 13450 17000 18292 22865 26900 33625 36584 45730 53800 67250 91460 114325 134500 182920 228650 269000 457300 571625 914600 1143250 2286500 2628911 4573000 5257822 10515644 13144555 21031288 26289110 44691487 52578220 65722775 89382974 105156440 131445550 178765948 223457435 262891100 328613875 357531896 446914870 525782200 657227750 707177059 893829740 1117287175 1314455500 1414354118 1787659480 2234574350 2628911000 2828708236 3535885295 4469148700 5586435875 5657416472 7071770590 8938297400 11172871750 12022010003 14143541180 17679426475 22345743500 24044020006 28287082360 35358852950 44691487000 48088040012 60110050015 70717705900 88397132375 96176080024 120220100030 141435411800 176794264750 240440200060 300550250075 353588529500 480880400120 601100500150 707177059000 1202201000300 1502751250375 2404402000600 3005502500750 6011005001500 12022010003000