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20001122121000 = 2335344914848643
BaseRepresentation
bin1001000110000110111111…
…10001110111010100101000
32121211002101120221011021210
410203003133301313110220
510110144244230333000
6110312215541033120
74133014310626446
oct443033761672450
977732346834253
1020001122121000
116411479011169
1222b04273b57a0
13b2113690b367
144d20b92b7b96
1524a41d63b350
hex1230dfc77528

20001122121000 has 128 divisors (see below), whose sum is σ = 62542488528000. Its totient is φ = 5321753292800.

The previous prime is 20001122120999. The next prime is 20001122121061. The reversal of 20001122121000 is 12122110002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6077322 + ... + 8771321.

It is an arithmetic number, because the mean of its divisors is an integer number (488613191625).

Almost surely, 220001122121000 is an apocalyptic number.

20001122121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001122121000 is an abundant number, since it is smaller than the sum of its proper divisors (42541366407000).

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

20001122121000 is a wasteful number, since it uses less digits than its factorization.

20001122121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14849116 (or 14849102 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20001122121000 its reverse (12122110002), we get a palindrome (20013244231002).

The spelling of 20001122121000 in words is "twenty trillion, one billion, one hundred twenty-two million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 449 500 600 750 898 1000 1347 1500 1796 2245 2694 3000 3592 4490 5388 6735 8980 10776 11225 13470 17960 22450 26940 33675 44900 53880 56125 67350 89800 112250 134700 168375 224500 269400 336750 449000 673500 1347000 14848643 29697286 44545929 59394572 74243215 89091858 118789144 148486430 178183716 222729645 296972860 356367432 371216075 445459290 593945720 742432150 890918580 1113648225 1484864300 1781837160 1856080375 2227296450 2969728600 3712160750 4454592900 5568241125 6667040707 7424321500 8909185800 11136482250 13334081414 14848643000 20001122121 22272964500 26668162828 33335203535 40002244242 44545929000 53336325656 66670407070 80004488484 100005610605 133340814140 160008976968 166676017675 200011221210 266681628280 333352035350 400022442420 500028053025 666704070700 800044884840 833380088375 1000056106050 1333408141400 1666760176750 2000112212100 2500140265125 3333520353500 4000224424200 5000280530250 6667040707000 10000561060500 20001122121000