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12032220220 = 22517219710567
BaseRepresentation
bin10110011010010110…
…10001110000111100
31011001112202010011221
423031023101300330
5144120222021340
65305540123124
7604112120146
oct131513216074
934045663157
1012032220220
115114969159
1223b96964a4
131199a36247
14822007c96
154a64d744a
hex2cd2d1c3c

12032220220 has 72 divisors (see below), whose sum is σ = 26980230816. Its totient is φ = 4506356736.

The previous prime is 12032220191. The next prime is 12032220223. The reversal of 12032220220 is 2202223021.

12032220220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12032220194 and 12032220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032220223) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1133377 + ... + 1143943.

It is an arithmetic number, because the mean of its divisors is an integer number (374725428).

Almost surely, 212032220220 is an apocalyptic number.

12032220220 is a gapful number since it is divisible by the number (10) 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 12032220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13490115408).

12032220220 is an abundant number, since it is smaller than the sum of its proper divisors (14948010596).

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

12032220220 is a wasteful number, since it uses less digits than its factorization.

12032220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10807 (or 10788 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 12032220220 its reverse (2202223021), we get a palindrome (14234443241).

The spelling of 12032220220 in words is "twelve billion, thirty-two million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 197 289 340 394 578 788 985 1156 1445 1970 2890 3349 3940 5780 6698 10567 13396 16745 21134 33490 42268 52835 56933 66980 105670 113866 179639 211340 227732 284665 359278 569330 718556 898195 1138660 1796390 2081699 3053863 3592780 4163398 6107726 8326796 10408495 12215452 15269315 20816990 30538630 35388883 41633980 61077260 70777766 141555532 176944415 353888830 601611011 707777660 1203222022 2406444044 3008055055 6016110110 12032220220