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120101121210 = 23572463176461
BaseRepresentation
bin110111111011010010…
…1011010110010111010
3102111000001110002201110
41233312211122302322
53431431341334320
6131101303501150
711451134454300
oct1576645326272
9374001402643
10120101121210
1146a30a51a74
121b3397577b6
13b4301312c5
145b5494a270
1531cdccc5e0
hex1bf695acba

120101121210 has 96 divisors (see below), whose sum is σ = 336028822272. Its totient is φ = 27392238720.

The previous prime is 120101121191. The next prime is 120101121251. The reversal of 120101121210 is 12121101021.

It is a super-2 number, since 2×1201011212102 (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 592380 + ... + 768840.

It is an arithmetic number, because the mean of its divisors is an integer number (3500300232).

Almost surely, 2120101121210 is an apocalyptic number.

120101121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120101121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168014411136).

120101121210 is an abundant number, since it is smaller than the sum of its proper divisors (215927701062).

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

120101121210 is a wasteful number, since it uses less digits than its factorization.

120101121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176948 (or 176941 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120101121210 its reverse (12121101021), we get a palindrome (132222222231).

It can be divided in two parts, 1201011 and 21210, that added together give a palindrome (1222221).

The spelling of 120101121210 in words is "one hundred twenty billion, one hundred one million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 463 490 735 926 1389 1470 2315 2778 3241 4630 6482 6945 9723 13890 16205 19446 22687 32410 45374 48615 68061 97230 113435 136122 176461 226870 340305 352922 529383 680610 882305 1058766 1235227 1764610 2470454 2646915 3705681 5293830 6176135 7411362 8646589 12352270 17293178 18528405 25939767 37056810 43232945 51879534 81701443 86465890 129698835 163402886 245104329 259397670 408507215 490208658 571910101 817014430 1143820202 1225521645 1715730303 2451043290 2859550505 3431460606 4003370707 5719101010 8006741414 8578651515 12010112121 17157303030 20016853535 24020224242 40033707070 60050560605 120101121210