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120021202220 = 225192325031187
BaseRepresentation
bin110111111000111010…
…0100011010100101100
3102110210111001210110212
41233301310203110230
53431300411432340
6131045330521552
711446144246313
oct1576164432454
9373714053425
10120021202220
114699a926717
121b316a362b8
13b4196cba6a
145b480a527a
1531c6c92a65
hex1bf1d2352c

120021202220 has 144 divisors (see below), whose sum is σ = 278132279040. Its totient is φ = 43381185408.

The previous prime is 120021202219. The next prime is 120021202241. The reversal of 120021202220 is 22202120021.

It is a junction number, because it is equal to n+sod(n) for n = 120021202195 and 120021202204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101112467 + ... + 101113653.

It is an arithmetic number, because the mean of its divisors is an integer number (1931474160).

Almost surely, 2120021202220 is an apocalyptic number.

120021202220 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 120021202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139066139520).

120021202220 is an abundant number, since it is smaller than the sum of its proper divisors (158111076820).

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

120021202220 is a wasteful number, since it uses less digits than its factorization.

120021202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 120021202220 its reverse (22202120021), we get a palindrome (142223322241).

The spelling of 120021202220 in words is "one hundred twenty billion, twenty-one million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 503 529 874 1006 1058 1187 1748 2012 2116 2185 2374 2515 2645 4370 4748 5030 5290 5935 8740 9557 10051 10060 10580 11569 11870 19114 20102 22553 23138 23740 27301 38228 40204 45106 46276 47785 50255 54602 57845 90212 95570 100510 109204 112765 115690 136505 191140 201020 219811 225530 231380 266087 273010 439622 451060 518719 532174 546020 597061 627923 879244 1037438 1064348 1099055 1194122 1255846 1330435 2074876 2198110 2388244 2511692 2593595 2660870 2985305 3139615 4396220 5055653 5187190 5321740 5970610 6279230 10111306 10374380 11344159 11930537 11941220 12558460 13732403 20222612 22688318 23861074 25278265 27464806 45376636 47722148 50556530 54929612 56720795 59652685 68662015 101113060 113441590 119305370 137324030 226883180 238610740 260915657 274648060 315845269 521831314 631690538 1043662628 1263381076 1304578285 1579226345 2609156570 3158452690 5218313140 6001060111 6316905380 12002120222 24004240444 30005300555 60010601110 120021202220