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11222012010112 = 2717227138116451
BaseRepresentation
bin1010001101001101010000…
…0010100001111010000000
31110201210222022102100001121
42203103110002201322000
52432330140033310422
635511153211242024
72235522630140041
oct243232402417200
943653868370047
1011222012010112
11363725724a102
121312a99149314
13635300c0b987
142ab210c428c8
15146d9c3308c7
hexa34d40a1e80

11222012010112 has 128 divisors (see below), whose sum is σ = 23794373609280. Its totient is φ = 5253556224000.

The previous prime is 11222012010029. The next prime is 11222012010151. The reversal of 11222012010112 is 21101021022211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 682139487 + ... + 682155937.

Almost surely, 211222012010112 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 11222012010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11897186804640).

11222012010112 is an abundant number, since it is smaller than the sum of its proper divisors (12572361599168).

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

11222012010112 is a wasteful number, since it uses less digits than its factorization.

11222012010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18090 (or 18078 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11222012010112 its reverse (21101021022211), we get a palindrome (32323033032323).

It can be divided in two parts, 1122201 and 2010112, that added together give a palindrome (3132313).

The spelling of 11222012010112 in words is "eleven trillion, two hundred twenty-two billion, twelve million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 227 272 454 544 908 1088 1381 1816 2176 2762 3632 3859 5524 7264 7718 11048 14528 15436 16451 22096 23477 29056 30872 32902 44192 46954 61744 65804 88384 93908 123488 131608 176768 187816 246976 263216 279667 313487 375632 493952 526432 559334 626974 751264 1052864 1118668 1253948 1502528 2105728 2237336 2507896 3005056 3734377 4474672 5015792 5329279 7468754 8949344 10031584 10658558 14937508 17898688 20063168 21317116 22718831 29875016 35797376 40126336 42634232 45437662 59750032 63484409 85268464 90875324 119500064 126968818 170536928 181750648 239000128 253937636 341073856 363501296 386220127 478000256 507875272 682147712 727002592 772440254 1015750544 1454005184 1544880508 2031501088 2908010368 3089761016 4063002176 5157174637 6179522032 8126004352 10314349274 12359044064 20628698548 24718088128 41257397096 49436176256 82514794192 87671968829 165029588384 175343937658 330059176768 350687875316 660118353536 701375750632 1402751501264 2805503002528 5611006005056 11222012010112