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12022002221200 = 245230055005553
BaseRepresentation
bin1010111011110001011100…
…1011000000000010010000
31120120021220000010202011221
42232330113023000002100
53033432030032034300
641322455342014424
72350363264552006
oct256742713000220
946507800122157
1012022002221200
113915558928294
121421b40277414
13692892b3b89a
142d7c21b7aa76
1515cabe83c31a
hexaef172c0090

12022002221200 has 30 divisors (see below), whose sum is σ = 28882860337394. Its totient is φ = 4808800888320.

The previous prime is 12022002221189. The next prime is 12022002221239. The reversal of 12022002221200 is 212220022021.

It can be written as a sum of positive squares in 3 ways, for example, as 4010294615184 + 8011707606016 = 2002572^2 + 2830496^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15027502377 + ... + 15027503176.

Almost surely, 212022002221200 is an apocalyptic number.

12022002221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022002221200 is an abundant number, since it is smaller than the sum of its proper divisors (16860858116194).

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

12022002221200 is a wasteful number, since it uses less digits than its factorization.

12022002221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30055005571 (or 30055005560 counting only the distinct ones).

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

Adding to 12022002221200 its reverse (212220022021), we get a palindrome (12234222243221).

The spelling of 12022002221200 in words is "twelve trillion, twenty-two billion, two million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 30055005553 60110011106 120220022212 150275027765 240440044424 300550055530 480880088848 601100111060 751375138825 1202200222120 1502750277650 2404400444240 3005500555300 6011001110600 12022002221200