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12101231022000 = 243534160348479
BaseRepresentation
bin1011000000011000100110…
…0100111000111110110000
31120211212101121002211202120
42300012021210320332300
53041231310120201000
641423121230114240
72356166533342311
oct260061144707660
946755347084676
1012101231022000
113946115484a5a
12143537194b980
1369a1ab2659c3
142db9ba326608
1515ebaa2726a0
hexb0189938fb0

12101231022000 has 160 divisors (see below), whose sum is σ = 39016111380480. Its totient is φ = 3226850809600.

The previous prime is 12101231021989. The next prime is 12101231022007. The reversal of 12101231022000 is 22013210121.

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

It is not an unprimeable number, because it can be changed into a prime (12101231022007) by changing a digit.

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, 249593761 + ... + 249642239.

It is an arithmetic number, because the mean of its divisors is an integer number (243850696128).

Almost surely, 212101231022000 is an apocalyptic number.

12101231022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101231022000 is an abundant number, since it is smaller than the sum of its proper divisors (26914880358480).

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

12101231022000 is a wasteful number, since it uses less digits than its factorization.

12101231022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90108 (or 90092 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12101231022000 its reverse (22013210121), we get a palindrome (12123244232121).

The spelling of 12101231022000 in words is "twelve trillion, one hundred one billion, two hundred thirty-one million, twenty-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 6000 41603 48479 83206 96958 124809 145437 166412 193916 208015 242395 249618 290874 332824 387832 416030 484790 499236 581748 624045 665648 727185 775664 832060 969580 998472 1040075 1163496 1211975 1248090 1454370 1664120 1939160 1996944 2080150 2326992 2423950 2496180 2908740 3120225 3328240 3635925 3878320 4160300 4847900 4992360 5200375 5817480 6059875 6240450 7271850 8320600 9695800 9984720 10400750 11634960 12119750 12480900 14543700 15601125 16641200 18179625 19391600 20801500 24239500 24961800 29087400 31202250 36359250 41603000 48479000 49923600 58174800 62404500 72718500 83206000 96958000 124809000 145437000 249618000 290874000 2016871837 4033743674 6050615511 8067487348 10084359185 12101231022 16134974696 20168718370 24202462044 30253077555 32269949392 40337436740 48404924088 50421795925 60506155110 80674873480 96809848176 100843591850 121012310220 151265387775 161349746960 201687183700 242024620440 252108979625 302530775550 403374367400 484049240880 504217959250 605061551100 756326938875 806748734800 1008435918500 1210123102200 1512653877750 2016871837000 2420246204400 3025307755500 4033743674000 6050615511000 12101231022000