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2002011121200 = 2435214759113039
BaseRepresentation
bin11101001000100001001…
…010010110011000110000
321002101112121010101121110
4131020201022112120300
5230300104321334300
64131413342153320
7264432462516126
oct35104112263060
97071477111543
102002011121200
117020590a3a22
12284005582840
13116a3410370c
146cc7da01916
153712483a550
hex1d221296630

2002011121200 has 120 divisors (see below), whose sum is σ = 6413600217600. Its totient is φ = 533828737280.

The previous prime is 2002011121183. The next prime is 2002011121211. The reversal of 2002011121200 is 21211102002.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17654281 + ... + 17767319.

It is an arithmetic number, because the mean of its divisors is an integer number (53446668480).

Almost surely, 22002011121200 is an apocalyptic number.

2002011121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002011121200 is an abundant number, since it is smaller than the sum of its proper divisors (4411589096400).

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

2002011121200 is a wasteful number, since it uses less digits than its factorization.

2002011121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127819 (or 127808 counting only the distinct ones).

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

Adding to 2002011121200 its reverse (21211102002), we get a palindrome (2023222223202).

The spelling of 2002011121200 in words is "two trillion, two billion, eleven million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 14759 29518 44277 59036 73795 88554 113039 118072 147590 177108 221385 226078 236144 295180 339117 354216 368975 442770 452156 565195 590360 678234 708432 737950 885540 904312 1106925 1130390 1180720 1356468 1475900 1695585 1771080 1808624 2213850 2260780 2712936 2825975 2951800 3391170 3542160 4427700 4521560 5425872 5651950 5903600 6782340 8477925 8855400 9043120 11303900 13564680 16955850 17710800 22607800 27129360 33911700 45215600 67823400 135646800 1668342601 3336685202 5005027803 6673370404 8341713005 10010055606 13346740808 16683426010 20020111212 25025139015 26693481616 33366852020 40040222424 41708565025 50050278030 66733704040 80080444848 83417130050 100100556060 125125695075 133467408080 166834260100 200201112120 250251390150 333668520200 400402224240 500502780300 667337040400 1001005560600 2002011121200