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2012200111220 = 2251373681105037
BaseRepresentation
bin11101010010000000011…
…110010000110001110100
321010100211200111201022012
4131102000132100301310
5230431441212024340
64140220355423352
7265243123511315
oct35220036206164
97110750451265
102012200111220
11706407560a32
12285b898b4b58
13117998cc19b0
146d568cbc60c
153751e0ca565
hex1d480790c74

2012200111220 has 48 divisors (see below), whose sum is σ = 4550773030608. Its totient is φ = 742949038080.

The previous prime is 2012200111219. The next prime is 2012200111231. The reversal of 2012200111220 is 221110022102.

It can be written as a sum of positive squares in 8 ways, for example, as 1066898936464 + 945301174756 = 1032908^2 + 972266^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2012200111195 and 2012200111204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19104542 + ... + 19209578.

It is an arithmetic number, because the mean of its divisors is an integer number (94807771471).

Almost surely, 22012200111220 is an apocalyptic number.

2012200111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012200111220 is an abundant number, since it is smaller than the sum of its proper divisors (2538572919388).

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

2012200111220 is a wasteful number, since it uses less digits than its factorization.

2012200111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178740 (or 178738 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2012200111220 its reverse (221110022102), we get a palindrome (2233310133322).

The spelling of 2012200111220 in words is "two trillion, twelve billion, two hundred million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 73681 105037 147362 210074 294724 368405 420148 525185 736810 957853 1050370 1365481 1473620 1915706 2100740 2730962 3831412 4789265 5461924 6827405 9578530 13654810 19157060 27309620 7739231197 15478462394 30956924788 38696155985 77392311970 100610005561 154784623940 201220011122 402440022244 503050027805 1006100055610 2012200111220