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120010201220 = 225721319495787
BaseRepresentation
bin110111111000100101…
…0100101100010000100
3102110202201100212221102
41233301022211202010
53431240102414340
6131044255035232
711445651610400
oct1576112454204
9373681325842
10120010201220
11469946a2488
121b31320bb18
13b4173496b0
145b46840100
1531c5d1d215
hex1bf12a5884

120010201220 has 144 divisors (see below), whose sum is σ = 332336612160. Its totient is φ = 35982164736.

The previous prime is 120010201219. The next prime is 120010201231. The reversal of 120010201220 is 22102010021.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 5834 + ... + 489953.

It is an arithmetic number, because the mean of its divisors is an integer number (2307893140).

Almost surely, 2120010201220 is an apocalyptic number.

120010201220 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 120010201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166168306080).

120010201220 is an abundant number, since it is smaller than the sum of its proper divisors (212326410940).

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

120010201220 is a wasteful number, since it uses less digits than its factorization.

120010201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495842 (or 495833 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120010201220 its reverse (22102010021), we get a palindrome (142112211241).

The spelling of 120010201220 in words is "one hundred twenty billion, ten million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 49 52 65 70 76 91 95 98 130 133 140 182 190 196 245 247 260 266 364 380 455 490 494 532 637 665 910 931 980 988 1235 1274 1330 1729 1820 1862 2470 2548 2660 3185 3458 3724 4655 4940 6370 6916 8645 9310 12103 12740 17290 18620 24206 34580 48412 60515 121030 242060 495787 991574 1983148 2478935 3470509 4957870 6445231 6941018 9419953 9915740 12890462 13882036 17352545 18839906 24293563 25780924 32226155 34705090 37679812 45116617 47099765 48587126 64452310 65939671 69410180 90233234 94199530 97174252 121467815 122459389 128904620 131879342 180466468 188399060 225583085 242935630 244918778 263758684 315816319 329698355 451166170 461577697 485871260 489837556 612296945 631632638 659396710 857215723 902332340 923155394 1224593890 1263265276 1318793420 1579081595 1714431446 1846310788 2307888485 2449187780 3158163190 3428862892 4286078615 4615776970 6000510061 6316326380 8572157230 9231553940 12001020122 17144314460 24002040244 30002550305 60005100610 120010201220