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12216438784 = 2121121572
BaseRepresentation
bin10110110000010100…
…00001000000000000
31011112101101101112201
423120022001000000
5200004402020114
65340120402544
7611510005414
oct133012010000
934471341481
1012216438784
1151a9952300
12244b316454
1311c8c56304
1483c67cd44
154b7775874
hex2d8281000

12216438784 has 117 divisors (see below), whose sum is σ = 27024820221. Its totient is φ = 5517557760.

The previous prime is 12216438757. The next prime is 12216438809. The reversal of 12216438784 is 48783461221.

The square root of 12216438784 is 110528.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3580825600 + 8635613184 = 59840^2 + 92928^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 77811634 + ... + 77811790.

Almost surely, 212216438784 is an apocalyptic number.

12216438784 is the 110528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12216438784

12216438784 is an abundant number, since it is smaller than the sum of its proper divisors (14808381437).

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

12216438784 is an frugal number, since it uses more digits than its factorization.

12216438784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 170 counting only the distinct ones).

The product of its digits is 516096, while the sum is 46.

The spelling of 12216438784 in words is "twelve billion, two hundred sixteen million, four hundred thirty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 157 176 242 256 314 352 484 512 628 704 968 1024 1256 1408 1727 1936 2048 2512 2816 3454 3872 4096 5024 5632 6908 7744 10048 11264 13816 15488 18997 20096 22528 24649 27632 30976 37994 40192 45056 49298 55264 61952 75988 80384 98596 110528 123904 151976 160768 197192 221056 247808 271139 303952 321536 394384 442112 495616 542278 607904 643072 788768 884224 1084556 1215808 1577536 1768448 2169112 2431616 2982529 3155072 3536896 4338224 4863232 5965058 6310144 7073792 8676448 9726464 11930116 12620288 17352896 19452928 23860232 25240576 34705792 38905856 47720464 50481152 69411584 77811712 95440928 100962304 138823168 190881856 277646336 381763712 555292672 763527424 1110585344 1527054848 3054109696 6108219392 12216438784