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12012222012 = 2237246344123
BaseRepresentation
bin10110010111111101…
…11111011000111100
31011000011010002210120
423023332333120330
5144100112101022
65303543334540
7603450126300
oct131376773074
934004102716
1012012222012
11510464a20a
1223b2a51450
13119585389b
1481d4bdd00
154a4886d5c
hex2cbfbf63c

12012222012 has 72 divisors (see below), whose sum is σ = 32675763456. Its totient is φ = 3424573152.

The previous prime is 12012222011. The next prime is 12012222017. The reversal of 12012222012 is 21022221021.

It is a junction number, because it is equal to n+sod(n) for n = 12012221982 and 12012222000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012222011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250183 + ... + 294305.

It is an arithmetic number, because the mean of its divisors is an integer number (453830048).

Almost surely, 212012222012 is an apocalyptic number.

12012222012 is a gapful number since it is divisible by the number (12) 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 12012222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16337881728).

12012222012 is an abundant number, since it is smaller than the sum of its proper divisors (20663541444).

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

12012222012 is a wasteful number, since it uses less digits than its factorization.

12012222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44607 (or 44598 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12012222012 its reverse (21022221021), we get a palindrome (33034443033).

Subtracting 12012222012 from its reverse (21022221021), we obtain a palindrome (9009999009).

The spelling of 12012222012 in words is "twelve billion, twelve million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 463 588 926 1389 1852 2778 3241 5556 6482 9723 12964 19446 22687 38892 44123 45374 68061 88246 90748 132369 136122 176492 264738 272244 308861 529476 617722 926583 1235444 1853166 2162027 3706332 4324054 6486081 8648108 12972162 20428949 25944324 40857898 61286847 81715796 122573694 143002643 245147388 286005286 429007929 572010572 858015858 1001018501 1716031716 2002037002 3003055503 4004074004 6006111006 12012222012