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1012222102000 = 24537914594391
BaseRepresentation
bin11101011101011010010…
…00111000100111110000
310120202201111110112111111
432232231020320213300
5113041012324231000
62053001452323104
7133062543622324
oct16565510704760
93522644415444
101012222102000
1136030aa9603a
12144213173494
13745b5455765
1436dc575b984
151b4e4759cba
hexebad2389f0

1012222102000 has 160 divisors (see below), whose sum is σ = 2480798361600. Its totient is φ = 399398688000.

The previous prime is 1012222101997. The next prime is 1012222102019. The reversal of 1012222102000 is 2012222101.

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, 230519805 + ... + 230524195.

It is an arithmetic number, because the mean of its divisors is an integer number (15504989760).

Almost surely, 21012222102000 is an apocalyptic number.

1012222102000 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 1012222102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240399180800).

1012222102000 is an abundant number, since it is smaller than the sum of its proper divisors (1468576259600).

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

1012222102000 is a wasteful number, since it uses less digits than its factorization.

1012222102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952 (or 5936 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1012222102000 its reverse (2012222101), we get a palindrome (1014234324101).

The spelling of 1012222102000 in words is "one trillion, twelve billion, two hundred twenty-two million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 125 158 200 250 316 395 400 500 632 790 1000 1264 1459 1580 1975 2000 2918 3160 3950 4391 5836 6320 7295 7900 8782 9875 11672 14590 15800 17564 19750 21955 23344 29180 31600 35128 36475 39500 43910 58360 70256 72950 79000 87820 109775 115261 116720 145900 158000 175640 182375 219550 230522 291800 346889 351280 364750 439100 461044 548875 576305 583600 693778 729500 878200 922088 1097750 1152610 1387556 1459000 1734445 1756400 1844176 2195500 2305220 2775112 2881525 2918000 3468890 4391000 4610440 5550224 5763050 6406469 6937780 8672225 8782000 9220880 11526100 12812938 13875560 14407625 17344450 23052200 25625876 27751120 28815250 32032345 34688900 43361125 46104400 51251752 57630500 64064690 69377800 86722250 102503504 115261000 128129380 138755600 160161725 173444500 230522000 256258760 320323450 346889000 506111051 512517520 640646900 693778000 800808625 1012222102 1281293800 1601617250 2024444204 2530555255 2562587600 3203234500 4048888408 5061110510 6406469000 8097776816 10122221020 12652776275 12812938000 20244442040 25305552550 40488884080 50611105100 63263881375 101222210200 126527762750 202444420400 253055525500 506111051000 1012222102000