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12012012220 = 22513535031733
BaseRepresentation
bin10110010111111100…
…01100001010111100
31011000010201110000111
423023332030022330
5144100033342340
65303535035404
7603445263535
oct131376141274
934003643014
1012012012220
11510451662a
1223b296bb64
1311957ac250
1481d46768c
154a4844aea
hex2cbf8c2bc

12012012220 has 96 divisors (see below), whose sum is σ = 27749215872. Its totient is φ = 4340364288.

The previous prime is 12012012217. The next prime is 12012012227. The reversal of 12012012220 is 2221021021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 12012012220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012012227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6930474 + ... + 6932206.

It is an arithmetic number, because the mean of its divisors is an integer number (289054332).

Almost surely, 212012012220 is an apocalyptic number.

12012012220 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 12012012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13874607936).

12012012220 is an abundant number, since it is smaller than the sum of its proper divisors (15737203652).

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

12012012220 is a wasteful number, since it uses less digits than its factorization.

12012012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12012012220 its reverse (2221021021), we get a palindrome (14233033241).

The spelling of 12012012220 in words is "twelve billion, twelve million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 503 530 689 1006 1060 1378 1733 2012 2515 2756 3445 3466 5030 6539 6890 6932 8665 10060 13078 13780 17330 22529 26156 26659 32695 34660 45058 53318 65390 90116 91849 106636 112645 130780 133295 183698 225290 266590 346567 367396 450580 459245 533180 693134 871699 918490 1194037 1386268 1732835 1743398 1836980 2388074 3465670 3486796 4358495 4776148 5970185 6931340 8716990 11332087 11940370 17433980 22664174 23880740 45328348 46200047 56660435 92400094 113320870 184800188 226641740 231000235 462000470 600600611 924000940 1201201222 2402402444 3003003055 6006006110 12012012220