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12220202011220 = 2257212469593889
BaseRepresentation
bin1011000111010011110011…
…0011001100101001010100
31121021020110220000021211122
42301310330303030221110
53100203433203324340
641553514443223112
72400610666145300
oct261647463145124
947236426007748
1012220202011220
113991616501045
121454434b17a98
136a848b1c6248
14303664b2cd00
15162d1ec15db5
hexb1d3cccca54

12220202011220 has 36 divisors (see below), whose sum is σ = 29852207772660. Its totient is φ = 4189783546368.

The previous prime is 12220202011189. The next prime is 12220202011247. The reversal of 12220202011220 is 2211020202221.

It is a happy number.

12220202011220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4295853150736 + 7924348860484 = 2072644^2 + 2815022^2 .

It is a super-3 number, since 3×122202020112203 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6234795965 + ... + 6234797924.

It is an arithmetic number, because the mean of its divisors is an integer number (829227993685).

Almost surely, 212220202011220 is an apocalyptic number.

12220202011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220202011220 is an abundant number, since it is smaller than the sum of its proper divisors (17632005761440).

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

12220202011220 is a wasteful number, since it uses less digits than its factorization.

12220202011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12469593912 (or 12469593903 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12220202011220 its reverse (2211020202221), we get a palindrome (14431222213441).

The spelling of 12220202011220 in words is "twelve trillion, two hundred twenty billion, two hundred two million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 12469593889 24939187778 49878375556 62347969445 87287157223 124695938890 174574314446 249391877780 349148628892 436435786115 611010100561 872871572230 1222020201122 1745743144460 2444040402244 3055050502805 6110101005610 12220202011220