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20200120222000 = 245317689986117
BaseRepresentation
bin1001001011111001101001…
…11111011000000100110000
32122112010001002222002201211
410211330310333120010300
510121424321234101000
6110543450201005504
74153260544603225
oct445746477300460
978463032862654
1020200120222000
116488906281864
122322b03483894
13b36b2b4a6b94
144db9962b594c
152506b8b567ba
hex125f34fd8130

20200120222000 has 160 divisors (see below), whose sum is σ = 51725157681600. Its totient is φ = 7603560550400.

The previous prime is 20200120221997. The next prime is 20200120222001. The reversal of 20200120222000 is 22202100202.

It is not an unprimeable number, because it can be changed into a prime (20200120222001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234522942 + ... + 234609058.

It is an arithmetic number, because the mean of its divisors is an integer number (323282235510).

Almost surely, 220200120222000 is an apocalyptic number.

20200120222000 is a gapful number since it is divisible by the number (20) 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 20200120222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25862578840800).

20200120222000 is an abundant number, since it is smaller than the sum of its proper divisors (31525037459600).

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

20200120222000 is a wasteful number, since it uses less digits than its factorization.

20200120222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93056 (or 93040 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 20200120222000 its reverse (22202100202), we get a palindrome (20222322322202).

The spelling of 20200120222000 in words is "twenty trillion, two hundred billion, one hundred twenty million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 6899 8500 13798 17000 27596 34000 34495 55192 68990 86117 110384 117283 137980 172234 172475 234566 275960 344468 344950 430585 469132 551920 586415 688936 689900 861170 862375 938264 1172830 1377872 1379800 1463989 1722340 1724750 1876528 2152925 2345660 2759600 2927978 2932075 3444680 3449500 4305850 4691320 5855956 5864150 6889360 6899000 7319945 8611700 9382640 10764625 11711912 11728300 13798000 14639890 14660375 17223400 21529250 23423824 23456600 29279780 29320750 34446800 36599725 43058500 46913200 58559560 58641500 73199450 86117000 117119120 117283000 146398900 172234000 182998625 234566000 292797800 365997250 585595600 594121183 731994500 1188242366 1463989000 2376484732 2927978000 2970605915 4752969464 5941211830 9505938928 10100060111 11882423660 14853029575 20200120222 23764847320 29706059150 40400240444 47529694640 50500300555 59412118300 74265147875 80800480888 101000601110 118824236600 148530295750 161600961776 202001202220 237648473200 252501502775 297060591500 404002404440 505003005550 594121183000 808004808880 1010006011100 1188242366000 1262507513875 2020012022200 2525015027750 4040024044400 5050030055500 10100060111000 20200120222000