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120011210222020 = 225134613617276821
BaseRepresentation
bin11011010010011001001001…
…100011011110100111000100
3120201220221220120210022120121
4123102121021203132213010
5111212230424304101040
61103124215554511324
734164344444410165
oct3322311143364704
9521827816708517
10120011210222020
113526a517536a07
1211562b87595544
1351c7015a7a240
14218c805c2376c
15dd1b788bcc4a
hex6d26498de9c4

120011210222020 has 96 divisors (see below), whose sum is σ = 272074892465376. Its totient is φ = 44203326259200.

The previous prime is 120011210221999. The next prime is 120011210222041. The reversal of 120011210222020 is 20222012110021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120011210221999) and next prime (120011210222041).

It can be written as a sum of positive squares in 16 ways, for example, as 111376404464004 + 8634805758016 = 10553502^2 + 2938504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120011210221985 and 120011210222003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433395210 + ... + 433672030.

It is an arithmetic number, because the mean of its divisors is an integer number (2834113463181).

Almost surely, 2120011210222020 is an apocalyptic number.

120011210222020 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 120011210222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136037446232688).

120011210222020 is an abundant number, since it is smaller than the sum of its proper divisors (152063682243356).

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

120011210222020 is a wasteful number, since it uses less digits than its factorization.

120011210222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280921 (or 280919 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120011210222020 its reverse (20222012110021), we get a palindrome (140233222332041).

The spelling of 120011210222020 in words is "one hundred twenty trillion, eleven billion, two hundred ten million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 461 922 1844 2305 3617 4610 5993 7234 9220 11986 14468 18085 23972 29965 36170 47021 59930 72340 94042 119860 188084 235105 276821 470210 553642 940420 1107284 1384105 1667437 2768210 3334874 3598673 5536420 6669748 7197346 8337185 14394692 16674370 17993365 21676681 33348740 35986730 43353362 71973460 86706724 108383405 127614481 216766810 255228962 433533620 510457924 638072405 1001261557 1276144810 1658988253 2002523114 2552289620 3317976506 4005046228 5006307785 6635953012 8294941265 10012615570 13016400241 16589882530 20025231140 26032800482 33179765060 52065600964 65082001205 130164002410 260328004820 461581577777 923163155554 1846326311108 2307907888885 4615815777770 6000560511101 9231631555540 12001121022202 24002242044404 30002802555505 60005605111010 120011210222020