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120041141321000 = 23532572683174091
BaseRepresentation
bin11011010010110101000001…
…100101100011110100101000
3120202000211011112102200112002
4123102311001211203310220
5111213223224134233000
61103150050010110132
734166454246510344
oct3322650145436450
9522024145380462
10120041141321000
113528118689a649
121156893b41b348
1351c9aa5a99ab3
142190045054624
15dd282b4368d5
hex6d2d41963d28

120041141321000 has 128 divisors (see below), whose sum is σ = 282095974892160. Its totient is φ = 47811520512000.

The previous prime is 120041141320963. The next prime is 120041141321033. The reversal of 120041141321000 is 123141140021.

It is a super-3 number, since 3×1200411413210003 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 689443955 + ... + 689618045.

It is an arithmetic number, because the mean of its divisors is an integer number (2203874803845).

Almost surely, 2120041141321000 is an apocalyptic number.

120041141321000 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 120041141321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141047987446080).

120041141321000 is an abundant number, since it is smaller than the sum of its proper divisors (162054833571160).

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

120041141321000 is a wasteful number, since it uses less digits than its factorization.

120041141321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177052 (or 177038 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 120041141321000 its reverse (123141140021), we get a palindrome (120164282461021).

The spelling of 120041141321000 in words is "one hundred twenty trillion, forty-one billion, one hundred forty-one million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 257 500 514 1000 1028 1285 2056 2570 2683 5140 5366 6425 10280 10732 12850 13415 21464 25700 26830 32125 51400 53660 64250 67075 107320 128500 134150 174091 257000 268300 335375 348182 536600 670750 689531 696364 870455 1341500 1379062 1392728 1740910 2683000 2758124 3447655 3481820 4352275 5516248 6895310 6963640 8704550 13790620 17238275 17409100 21761375 27581240 34476550 34818200 43522750 44741387 68953100 86191375 87045500 89482774 137906200 172382750 174091000 178965548 223706935 344765500 357931096 447413870 467086153 689531000 894827740 934172306 1118534675 1789655480 1868344612 2237069350 2335430765 3736689224 4474138700 4670861530 5592673375 8948277400 9341723060 11185346750 11677153825 18683446120 22370693500 23354307650 44741387000 46708615300 58385769125 93417230600 116771538250 120041141321 233543076500 240082282642 467086153000 480164565284 600205706605 960329130568 1200411413210 2400822826420 3001028533025 4801645652840 6002057066050 12004114132100 15005142665125 24008228264200 30010285330250 60020570660500 120041141321000