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2012122220200 = 235217591800653
BaseRepresentation
bin11101010001111011110…
…101001000011010101000
321010100122020221102220121
4131101323311020122220
5230431311242021300
64140204534133024
7265241156450641
oct35217365103250
97110566842817
102012122220200
117063775a0294
12285b677b1174
13117985b1c531
146d55c8046c8
153751734181a
hex1d47bd486a8

2012122220200 has 48 divisors (see below), whose sum is σ = 4953371473980. Its totient is φ = 757504834560.

The previous prime is 2012122220179. The next prime is 2012122220201. The reversal of 2012122220200 is 20222212102.

It can be written as a sum of positive squares in 6 ways, for example, as 1264045992804 + 748076227396 = 1124298^2 + 864914^2 .

It is not an unprimeable number, because it can be changed into a prime (2012122220201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295896927 + ... + 295903726.

Almost surely, 22012122220200 is an apocalyptic number.

2012122220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012122220200 is an abundant number, since it is smaller than the sum of its proper divisors (2941249253780).

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

2012122220200 is a wasteful number, since it uses less digits than its factorization.

2012122220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591800686 (or 591800677 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2012122220200 its reverse (20222212102), we get a palindrome (2032344432302).

It can be divided in two parts, 2012122 and 220200, that added together give a palindrome (2232322).

The spelling of 2012122220200 in words is "two trillion, twelve billion, one hundred twenty-two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 591800653 1183601306 2367202612 2959003265 4734405224 5918006530 10060611101 11836013060 14795016325 20121222202 23672026120 29590032650 40242444404 50303055505 59180065300 80484888808 100606111010 118360130600 201212222020 251515277525 402424444040 503030555050 1006061110100 2012122220200