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12222001112112 = 24331114291799839
BaseRepresentation
bin1011000111011010100000…
…0010001110010000110000
31121021102010021100002022000
42301312220002032100300
53100221124241041422
641554413152214000
72401003403226351
oct261665002162060
947242107302260
1012222001112112
11399235a001190
12145485753a300
136a86b6b5cc9c
14303795a4dd28
15162dc7b42cac
hexb1da808e430

12222001112112 has 160 divisors (see below), whose sum is σ = 38297715456000. Its totient is φ = 3701042876160.

The previous prime is 12222001112107. The next prime is 12222001112131. The reversal of 12222001112112 is 21121110022221.

12222001112112 is a `hidden beast` number, since 122 + 220 + 0 + 111 + 211 + 2 = 666.

It is a super-2 number, since 2×122220011121122 (a number of 27 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 5890689 + ... + 7690527.

It is an arithmetic number, because the mean of its divisors is an integer number (239360721600).

Almost surely, 212222001112112 is an apocalyptic number.

12222001112112 is a gapful number since it is divisible by the number (12) 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 12222001112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19148857728000).

12222001112112 is an abundant number, since it is smaller than the sum of its proper divisors (26075714343888).

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

12222001112112 is a wasteful number, since it uses less digits than its factorization.

12222001112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801296 (or 1801284 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12222001112112 its reverse (21121110022221), we get a palindrome (33343111134333).

The spelling of 12222001112112 in words is "twelve trillion, two hundred twenty-two billion, one million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1429 1584 2376 2858 4287 4752 5716 8574 11432 12861 15719 17148 22864 25722 31438 34296 38583 47157 51444 62876 68592 77166 94314 102888 125752 141471 154332 188628 205776 251504 282942 308664 377256 424413 565884 617328 754512 848826 1131768 1697652 1799839 2263536 3395304 3599678 5399517 6790608 7199356 10799034 14398712 16198551 19798229 21598068 28797424 32397102 39596458 43196136 48595653 59394687 64794204 79192916 86392272 97191306 118789374 129588408 158385832 178184061 194382612 237578748 259176816 316771664 356368122 388765224 475157496 534552183 712736244 777530448 950314992 1069104366 1425472488 2138208732 2571969931 2850944976 4276417464 5143939862 7715909793 8552834928 10287879724 15431819586 20575759448 23147729379 28291669241 30863639172 41151518896 46295458758 56583338482 61727278344 69443188137 84875007723 92590917516 113166676964 123454556688 138886376274 169750015446 185181835032 226333353928 254625023169 277772752548 339500030892 370363670064 452666707856 509250046338 555545505096 679000061784 763875069507 1018500092676 1111091010192 1358000123568 1527750139014 2037000185352 3055500278028 4074000370704 6111000556056 12222001112112