Search a number
-
+
2001200221200 = 243527717216103
BaseRepresentation
bin11101000111110000110…
…101000000110000010000
321002022110002021101221010
4131013300311000300100
5230241424224034300
64131201053530520
7264403415134155
oct35076065006020
97068402241833
102001200221200
11701782398834
12283a19aa3a40
1311693510542b
146cc0403a22c
15370c855da50
hex1d1f0d40c10

2001200221200 has 120 divisors (see below), whose sum is σ = 6411371743168. Its totient is φ = 533581770240.

The previous prime is 2001200221199. The next prime is 2001200221219. The reversal of 2001200221200 is 21220021002.

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, 9152349 + ... + 9368451.

Almost surely, 22001200221200 is an apocalyptic number.

2001200221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001200221200 is an abundant number, since it is smaller than the sum of its proper divisors (4410171521968).

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

2001200221200 is a wasteful number, since it uses less digits than its factorization.

2001200221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223841 (or 223830 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2001200221200 its reverse (21220021002), we get a palindrome (2022420242202).

The spelling of 2001200221200 in words is "two trillion, one billion, two hundred million, two 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 7717 15434 23151 30868 38585 46302 61736 77170 92604 115755 123472 154340 185208 192925 216103 231510 308680 370416 385850 432206 463020 578775 617360 648309 771700 864412 926040 1080515 1157550 1296618 1543400 1728824 1852080 2161030 2315100 2593236 3086800 3241545 3457648 4322060 4630200 5186472 5402575 6483090 8644120 9260400 10372944 10805150 12966180 16207725 17288240 21610300 25932360 32415450 43220600 51864720 64830900 86441200 129661800 259323600 1667666851 3335333702 5003000553 6670667404 8338334255 10006001106 13341334808 16676668510 20012002212 25015002765 26682669616 33353337020 40024004424 41691671275 50030005530 66706674040 80048008848 83383342550 100060011060 125075013825 133413348080 166766685100 200120022120 250150027650 333533370200 400240044240 500300055300 667066740400 1000600110600 2001200221200