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12221020110112 = 2511107409793337
BaseRepresentation
bin1011000111010110110110…
…0011111111110100100000
31121021022120220102000112121
42301311231203333310200
53100212122122010422
641554131550034024
72400640161652252
oct261655543776440
947238526360477
1012221020110112
1139919a6283930
121454622aa8914
136a858b845128
14303701649cd2
15162d6b9658c7
hexb1d6d8ffd20

12221020110112 has 96 divisors (see below), whose sum is σ = 26557529019840. Its totient is φ = 5489631252480.

The previous prime is 12221020110083. The next prime is 12221020110121. The reversal of 12221020110112 is 21101102012221.

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, 15007908 + ... + 15801244.

It is an arithmetic number, because the mean of its divisors is an integer number (276640927290).

Almost surely, 212221020110112 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 12221020110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13278764509920).

12221020110112 is an abundant number, since it is smaller than the sum of its proper divisors (14336508909728).

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

12221020110112 is a wasteful number, since it uses less digits than its factorization.

12221020110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793874 (or 793866 counting only the distinct ones).

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

Adding to 12221020110112 its reverse (21101102012221), we get a palindrome (33322122122333).

The spelling of 12221020110112 in words is "twelve trillion, two hundred twenty-one billion, twenty million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 107 176 214 352 409 428 818 856 1177 1636 1712 2354 3272 3424 4499 4708 6544 8998 9416 13088 17996 18832 35992 37664 43763 71984 87526 143968 175052 350104 481393 700208 793337 962786 1400416 1586674 1925572 3173348 3851144 6346696 7702288 8726707 12693392 15404576 17453414 25386784 34906828 69813656 84887059 139627312 169774118 279254624 324474833 339548236 648949666 679096472 933757649 1297899332 1358192944 1867515298 2595798664 2716385888 3569223163 3735030596 5191597328 7138446326 7470061192 10383194656 14276892652 14940122384 28553785304 29880244768 34718807131 57107570608 69437614262 114215141216 138875228524 277750457048 381906878441 555500914096 763813756882 1111001828192 1527627513764 3055255027528 6110510055056 12221020110112