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12201020122000 = 245317438345431
BaseRepresentation
bin1011000110001100010101…
…1110000110001110010000
31121012101222001220100121011
42301203011132012032100
53044400142122401000
641541023220540304
72366331436605103
oct261430536061620
947171861810534
1012201020122000
113984472862836
121450780b51694
136a6722172a38
1430276536873a
1516259abed2ba
hexb18c5786390

12201020122000 has 160 divisors (see below), whose sum is σ = 31963939248384. Its totient is φ = 4486503168000.

The previous prime is 12201020121907. The next prime is 12201020122003. The reversal of 12201020122000 is 22102010221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12201020122003) 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, 2710716 + ... + 5634715.

Almost surely, 212201020122000 is an apocalyptic number.

12201020122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201020122000 is an abundant number, since it is smaller than the sum of its proper divisors (19762919126384).

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

12201020122000 is a wasteful number, since it uses less digits than its factorization.

12201020122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8345514 (or 8345498 counting only the distinct ones).

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

Adding to 12201020122000 its reverse (22102010221), we get a palindrome (12223122132221).

The spelling of 12201020122000 in words is "twelve trillion, two hundred one billion, twenty million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 43 50 68 80 85 86 100 125 136 170 172 200 215 250 272 340 344 400 425 430 500 680 688 731 850 860 1000 1075 1360 1462 1700 1720 2000 2125 2150 2924 3400 3440 3655 4250 4300 5375 5848 6800 7310 8500 8600 10750 11696 14620 17000 17200 18275 21500 29240 34000 36550 43000 58480 73100 86000 91375 146200 182750 292400 365500 731000 1462000 8345431 16690862 33381724 41727155 66763448 83454310 133526896 141872327 166908620 208635775 283744654 333817240 358853533 417271550 567489308 667634480 709361635 717707066 834543100 1043178875 1134978616 1418723270 1435414132 1669086200 1794267665 2086357750 2269957232 2837446540 2870828264 3338172400 3546808175 3588535330 4172715500 5674893080 5741656528 6100510061 7093616350 7177070660 8345431000 8971338325 11349786160 12201020122 14187232700 14354141320 16690862000 17734040875 17942676650 24402040244 28374465400 28708282640 30502550305 35468081750 35885353300 44856691625 48804080488 56748930800 61005100610 70936163500 71770706600 89713383250 97608160976 122010201220 141872327000 143541413200 152512751525 179426766500 244020402440 283744654000 305025503050 358853533000 488040804880 610051006100 717707066000 762563757625 1220102012200 1525127515250 2440204024400 3050255030500 6100510061000 12201020122000