Search a number
-
+
120021010220120 = 23523927746499749
BaseRepresentation
bin11011010010100010010001…
…101011100000010001011000
3120201221220012120012210200012
4123102202101223200101120
5111212411012104020440
61103132520234501052
734165142343126212
oct3322422153402130
9521856176183605
10120021010220120
1135273696367599
1211564a61594788
1351c7c181ac599
14218d0955a35b2
15dd204de20e65
hex6d2891ae0458

120021010220120 has 128 divisors (see below), whose sum is σ = 272242620000000. Its totient is φ = 47619810373632.

The previous prime is 120021010220081. The next prime is 120021010220143. The reversal of 120021010220120 is 21022010120021.

It is a junction number, because it is equal to n+sod(n) for n = 120021010220095 and 120021010220104.

It is a congruent number.

It is an unprimeable number.

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, 12311105006 + ... + 12311114754.

It is an arithmetic number, because the mean of its divisors is an integer number (2126895468750).

Almost surely, 2120021010220120 is an apocalyptic number.

120021010220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120021010220120 is an abundant number, since it is smaller than the sum of its proper divisors (152221609779880).

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

120021010220120 is a wasteful number, since it uses less digits than its factorization.

120021010220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14925 (or 14921 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120021010220120 its reverse (21022010120021), we get a palindrome (141043020340141).

The spelling of 120021010220120 in words is "one hundred twenty trillion, twenty-one billion, ten million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 239 277 478 554 956 1108 1195 1385 1912 2216 2390 2770 4649 4780 5540 9298 9560 9749 11080 18596 19498 23245 37192 38996 46490 48745 66203 77992 92980 97490 132406 185960 194980 264812 331015 389960 529624 662030 1111111 1287773 1324060 2222222 2330011 2575546 2648120 2700473 4444444 4660022 5151092 5400946 5555555 6438865 8888888 9320044 10302184 10801892 11111110 11650055 12877730 13502365 18640088 21603784 22222220 23300110 25755460 27004730 44444440 45323101 46600220 51510920 54009460 90646202 93200440 108018920 181292404 226615505 307777747 362584808 453231010 615555494 645413047 906462020 1231110988 1290826094 1538888735 1812924040 2462221976 2581652188 3077777470 3227065235 5163304376 6155554940 6454130470 10832221139 12311109880 12554498977 12908260940 21664442278 25108997954 25816521880 43328884556 50217995908 54161105695 62772494885 86657769112 100435991816 108322211390 125544989770 216644422780 251089979540 433288845560 502179959080 3000525255503 6001050511006 12002101022012 15002626277515 24004202044024 30005252555030 60010505110060 120021010220120