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120020010020000 = 255412234906787
BaseRepresentation
bin11011010010100001010110…
…000100000010110010100000
3120201221210121212011101001022
4123102201112010002302200
5111212401440031120000
61103132233105025012
734165105506432656
oct3322412604026240
9521853555141038
10120020010020000
1135273222817422
1211564822625168
1351c7ab8c022ac
14218cddc802dd6
15dd1ee1200585
hex6d2856102ca0

120020010020000 has 120 divisors (see below), whose sum is σ = 295508716515936. Its totient is φ = 47968739936000.

The previous prime is 120020010019993. The next prime is 120020010020011. The reversal of 120020010020000 is 20010020021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 120020010020000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22006607 + ... + 26913393.

Almost surely, 2120020010020000 is an apocalyptic number.

120020010020000 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 120020010020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147754358257968).

120020010020000 is an abundant number, since it is smaller than the sum of its proper divisors (175488706495936).

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

120020010020000 is an equidigital number, since it uses as much as digits as its factorization.

120020010020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908040 (or 4908017 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 120020010020000 its reverse (20010020021), we get a palindrome (120040020040021).

The spelling of 120020010020000 in words is "one hundred twenty trillion, twenty billion, ten million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1223 1250 2000 2446 2500 4000 4892 5000 6115 9784 10000 12230 19568 20000 24460 30575 39136 48920 61150 97840 122300 152875 195680 244600 305750 489200 611500 764375 978400 1223000 1528750 2446000 3057500 4892000 4906787 6115000 9813574 12230000 19627148 24460000 24533935 39254296 49067870 78508592 98135740 122669675 157017184 196271480 245339350 392542960 490678700 613348375 785085920 981357400 1226696750 1962714800 2453393500 3066741875 3925429600 4906787000 6001000501 6133483750 9813574000 12002001002 12266967500 19627148000 24004002004 24533935000 30005002505 48008004008 49067870000 60010005010 96016008016 98135740000 120020010020 150025012525 192032016032 240040020040 300050025050 480080040080 600100050100 750125062625 960160080160 1200200100200 1500250125250 2400400200400 3000500250500 3750625313125 4800800400800 6001000501000 7501250626250 12002001002000 15002501252500 24004002004000 30005002505000 60010005010000 120020010020000