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12211051565104 = 2477911091244447
BaseRepresentation
bin1011000110110001101101…
…1001000001000000110000
31121020100212011211110112221
42301230123121001000300
53100031213200040404
641545402445330424
72400135145505650
oct261543331010060
947210764743487
1012211051565104
1139887502a3487
121452700566a14
136a766051bca2
14303037754360
1516298671c954
hexb1b1b641030

12211051565104 has 80 divisors (see below), whose sum is σ = 27405731635200. Its totient is φ = 5162400052992.

The previous prime is 12211051565099. The next prime is 12211051565159. The reversal of 12211051565104 is 40156515011221.

It is a self number, because there is not a number n which added to its sum of digits gives 12211051565104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9190209 + ... + 10434655.

It is an arithmetic number, because the mean of its divisors is an integer number (342571645440).

Almost surely, 212211051565104 is an apocalyptic number.

12211051565104 is a gapful number since it is divisible by the number (14) 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 12211051565104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13702865817600).

12211051565104 is an abundant number, since it is smaller than the sum of its proper divisors (15194680070096).

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

12211051565104 is a wasteful number, since it uses less digits than its factorization.

12211051565104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245650 (or 1245644 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 34.

Adding to 12211051565104 its reverse (40156515011221), we get a palindrome (52367566576325).

The spelling of 12211051565104 in words is "twelve trillion, two hundred eleven billion, fifty-one million, five hundred sixty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 553 632 1106 1109 1264 2212 2218 4424 4436 7763 8848 8872 15526 17744 31052 62104 87611 124208 175222 350444 613277 700888 1226554 1244447 1401776 2453108 2488894 4906216 4977788 8711129 9812432 9955576 17422258 19911152 34844516 69689032 98311313 139378064 196622626 393245252 688179191 786490504 1376358382 1380091723 1572981008 2752716764 2760183446 5505433528 5520366892 9660642061 11010867056 11040733784 19321284122 22081467568 38642568244 77285136488 109027246117 154570272976 218054492234 436108984468 763190722819 872217968936 1526381445638 1744435937872 3052762891276 6105525782552 12211051565104