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12204212484288 = 2631127972065967
BaseRepresentation
bin1011000110011000001110…
…1111111111100011000000
31121012201012112220011101110
42301212003233333203000
53044423211343444123
641542312100203320
72366503522334556
oct261460357774300
947181175804343
1012204212484288
113985860869880
121451312099540
136a6b10668cc6
14302989325bd6
151626d60dd493
hexb1983bff8c0

12204212484288 has 112 divisors (see below), whose sum is σ = 35238406316544. Its totient is φ = 3696922199040.

The previous prime is 12204212484239. The next prime is 12204212484379. The reversal of 12204212484288 is 88248421240221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4874281 + ... + 6940247.

Almost surely, 212204212484288 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 12204212484288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17619203158272).

12204212484288 is an abundant number, since it is smaller than the sum of its proper divisors (23034193832256).

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

12204212484288 is a wasteful number, since it uses less digits than its factorization.

12204212484288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068790 (or 2068780 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 12204212484288 in words is "twelve trillion, two hundred four billion, two hundred twelve million, four hundred eighty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 2797 5594 8391 11188 16782 22376 30767 33564 44752 61534 67128 89504 92301 123068 134256 179008 184602 246136 268512 369204 492272 537024 738408 984544 1476816 1969088 2065967 2953632 4131934 5907264 6197901 8263868 12395802 16527736 22725637 24791604 33055472 45451274 49583208 66110944 68176911 90902548 99166416 132221888 136353822 181805096 198332832 272707644 363610192 396665664 545415288 727220384 1090830576 1454440768 2181661152 4363322304 5778509699 11557019398 17335529097 23114038796 34671058194 46228077592 63563606689 69342116388 92456155184 127127213378 138684232776 184912310368 190690820067 254254426756 277368465552 369824620736 381381640134 508508853512 554736931104 762763280268 1017017707024 1109473862208 1525526560536 2034035414048 3051053121072 4068070828096 6102106242144 12204212484288