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120112221000 = 23353199201193
BaseRepresentation
bin110111111011100111…
…1110000101101001000
3102111000211100000202210
41233313033300231020
53431442212033000
6131102341425120
711451331014222
oct1576717605510
9374024300683
10120112221000
1146a37243452
121b34140b1a0
13b432519625
145b561d9412
1531cec71350
hex1bf73f0b48

120112221000 has 128 divisors (see below), whose sum is σ = 376635168000. Its totient is φ = 31868812800.

The previous prime is 120112220989. The next prime is 120112221001. The reversal of 120112221000 is 122211021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (120112221001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496404 + ... + 697596.

It is an arithmetic number, because the mean of its divisors is an integer number (2942462250).

Almost surely, 2120112221000 is an apocalyptic number.

120112221000 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 120112221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188317584000).

120112221000 is an abundant number, since it is smaller than the sum of its proper divisors (256522947000).

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

120112221000 is a wasteful number, since it uses less digits than its factorization.

120112221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201416 (or 201402 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120112221000 its reverse (122211021), we get a palindrome (120234432021).

The spelling of 120112221000 in words is "one hundred twenty billion, one hundred twelve million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 199 200 250 300 375 398 500 597 600 750 796 995 1000 1194 1500 1592 1990 2388 2985 3000 3980 4776 4975 5970 7960 9950 11940 14925 19900 23880 24875 29850 39800 49750 59700 74625 99500 119400 149250 199000 201193 298500 402386 597000 603579 804772 1005965 1207158 1609544 2011930 2414316 3017895 4023860 4828632 5029825 6035790 8047720 10059650 12071580 15089475 20119300 24143160 25149125 30178950 40037407 40238600 50298250 60357900 75447375 80074814 100596500 120112221 120715800 150894750 160149628 200187035 201193000 240224442 301789500 320299256 400374070 480448884 600561105 603579000 800748140 960897768 1000935175 1201122210 1601496280 2001870350 2402244420 3002805525 4003740700 4804488840 5004675875 6005611050 8007481400 10009351750 12011222100 15014027625 20018703500 24022444200 30028055250 40037407000 60056110500 120112221000