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12221112201122 = 21121924314532239
BaseRepresentation
bin1011000111010111001100…
…0011010010111110100010
31121021022211022200201122202
42301311303003102332202
53100212314210413442
641554145035533202
72400642360504206
oct261656303227642
947238738621582
1012221112201122
113991a43263200
1214546498ba202
136a85a4949a56
1430370d97cb06
15162d74aa6c32
hexb1d730d2fa2

12221112201122 has 144 divisors (see below), whose sum is σ = 21785271298560. Its totient is φ = 5134460063040.

The previous prime is 12221112201097. The next prime is 12221112201163. The reversal of 12221112201122 is 22110221112221.

It is a junction number, because it is equal to n+sod(n) for n = 12221112201094 and 12221112201103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5458289279 + ... + 5458291517.

It is an arithmetic number, because the mean of its divisors is an integer number (151286606240).

Almost surely, 212221112201122 is an apocalyptic number.

12221112201122 is a deficient number, since it is larger than the sum of its proper divisors (9564159097438).

12221112201122 is a wasteful number, since it uses less digits than its factorization.

12221112201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 12221112201122 its reverse (22110221112221), we get a palindrome (34331333313343).

The spelling of 12221112201122 in words is "twelve trillion, two hundred twenty-one billion, one hundred twelve million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 11 19 22 38 43 86 121 209 242 361 418 473 722 817 946 1453 1634 2239 2299 2906 3971 4478 4598 5203 7942 8987 10406 15523 15983 17974 24629 27607 31046 31966 42541 43681 49258 55214 62479 85082 87362 96277 98857 124958 170753 175813 192554 197714 270919 303677 341506 351626 467951 524533 541838 607354 687269 808279 935902 1049066 1059047 1187101 1374538 1616558 1829263 1878283 2118094 2374202 3253267 3340447 3658526 3756566 5147461 5769863 6506534 6680894 7559959 8891069 10294922 11539726 11649517 13058111 15119918 17782138 20121893 22554919 23299034 26116222 34755997 35785937 40243786 45109838 61812073 63468493 69511994 71571874 97801759 123624146 126936986 139890481 143639221 195603518 221340823 248104109 279780962 287278442 382315967 393645307 442681646 496208218 679932803 764631934 787290614 1174429387 1359865606 1538795291 2348858774 2657919139 2729145199 3077590582 4205475637 5315838278 5458290398 7479260833 8410951274 12918723257 14958521666 16926748201 25837446514 29237110529 33853496402 50500463641 58474221058 101000927282 142105955827 284211911654 321608215819 555505100051 643216431638 1111010200102 6110556100561 12221112201122