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2012122202200 = 2352117611201841
BaseRepresentation
bin11101010001111011110…
…101000100000001011000
321010100122020220112012221
4131101323311010001120
5230431311240432300
64140204533513424
7265241156344315
oct35217365040130
97110566815187
102012122202200
11706377588810
12285b677a2874
13117985b14296
146d55c7dbd0c
153751733b31a
hex1d47bd44058

2012122202200 has 96 divisors (see below), whose sum is σ = 5110184110320. Its totient is φ = 730718720000.

The previous prime is 2012122202183. The next prime is 2012122202239. The reversal of 2012122202200 is 22022212102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1073280 + ... + 2275120.

Almost surely, 22012122202200 is an apocalyptic number.

2012122202200 is a gapful number since it is divisible by the number (20) 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 2012122202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555092055160).

2012122202200 is an abundant number, since it is smaller than the sum of its proper divisors (3098061908120).

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

2012122202200 is a wasteful number, since it uses less digits than its factorization.

2012122202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202629 (or 1202620 counting only the distinct ones).

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

Adding to 2012122202200 its reverse (22022212102), we get a palindrome (2034144414302).

The spelling of 2012122202200 in words is "two trillion, twelve billion, one hundred twenty-two million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 761 1100 1522 2200 3044 3805 6088 7610 8371 15220 16742 19025 30440 33484 38050 41855 66968 76100 83710 152200 167420 209275 334840 418550 837100 1201841 1674200 2403682 4807364 6009205 9614728 12018410 13220251 24036820 26440502 30046025 48073640 52881004 60092050 66101255 105762008 120184100 132202510 240368200 264405020 330506275 528810040 661012550 914601001 1322025100 1829202002 2644050200 3658404004 4573005005 7316808008 9146010010 10060611011 18292020020 20121222022 22865025025 36584040040 40242444044 45730050050 50303055055 80484888088 91460100100 100606110110 182920200200 201212220220 251515275275 402424440440 503030550550 1006061101100 2012122202200