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120022122001000 = 2353415728872293
BaseRepresentation
bin11011010010100011010011…
…111100100111001001101000
3120201222000002001020010022211
4123102203103330213021220
5111212420301213013000
61103133222432054504
734165212033116662
oct3322432374471150
9521860061203284
10120022122001000
1135274106998a6a
1211565111994434
1351c80646265ab
14218d15d0cb532
15dd20b68327ba
hex6d28d3f27268

120022122001000 has 64 divisors (see below), whose sum is σ = 280919336377680. Its totient is φ = 47997298220800.

The previous prime is 120022122000983. The next prime is 120022122001043. The reversal of 120022122001000 is 100221220021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 439629998116 + 119582492002884 = 663046^2 + 10935378^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10279147 + ... + 18593146.

Almost surely, 2120022122001000 is an apocalyptic number.

120022122001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120022122001000 is an abundant number, since it is smaller than the sum of its proper divisors (160897214376680).

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

120022122001000 is a wasteful number, since it uses less digits than its factorization.

120022122001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28876471 (or 28876457 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120022122001000 its reverse (100221220021), we get a palindrome (120122343221021).

The spelling of 120022122001000 in words is "one hundred twenty trillion, twenty-two billion, one hundred twenty-two million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 4157 8314 16628 20785 33256 41570 83140 103925 166280 207850 415700 519625 831400 1039250 2078500 4157000 28872293 57744586 115489172 144361465 230978344 288722930 577445860 721807325 1154891720 1443614650 2887229300 3609036625 5774458600 7218073250 14436146500 28872293000 120022122001 240044244002 480088488004 600110610005 960176976008 1200221220010 2400442440020 3000553050025 4800884880040 6001106100050 12002212200100 15002765250125 24004424400200 30005530500250 60011061000500 120022122001000