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12211200324 = 22327919322247
BaseRepresentation
bin10110101111101100…
…00010000101000100
31011112000112020201200
423113312002011010
5200002031402244
65335412222500
7611414330061
oct132766020504
934460466650
1012211200324
1151a69a45a4
12244960aa30
1311c7b40b2b
1483bab7c68
154b708d669
hex2d7d82144

12211200324 has 72 divisors (see below), whose sum is σ = 31421295360. Its totient is φ = 3997873152.

The previous prime is 12211200299. The next prime is 12211200347. The reversal of 12211200324 is 42300211221.

It is a happy number.

12211200324 is a `hidden beast` number, since 1 + 221 + 120 + 0 + 324 = 666.

It is a super-2 number, since 2×122112003242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12211200297 and 12211200306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537769 + ... + 560015.

It is an arithmetic number, because the mean of its divisors is an integer number (436406880).

Almost surely, 212211200324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211200324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15710647680).

12211200324 is an abundant number, since it is smaller than the sum of its proper divisors (19210095036).

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

12211200324 is a wasteful number, since it uses less digits than its factorization.

12211200324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22529 (or 22524 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12211200324 its reverse (42300211221), we get a palindrome (54511411545).

The spelling of 12211200324 in words is "twelve billion, two hundred eleven million, two hundred thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 193 237 316 386 474 579 711 772 948 1158 1422 1737 2316 2844 3474 6948 15247 22247 30494 44494 45741 60988 66741 88988 91482 133482 137223 182964 200223 266964 274446 400446 548892 800892 1757513 3515026 4293671 5272539 7030052 8587342 10545078 12881013 15817617 17174684 21090156 25762026 31635234 38643039 51524052 63270468 77286078 154572156 339200009 678400018 1017600027 1356800036 2035200054 3052800081 4070400108 6105600162 12211200324