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11201111122122 = 2332115997332239
BaseRepresentation
bin1010001011111111011000…
…1111111110000011001010
31110122211000200201012211000
42202333312033332003022
52432004333421401442
635453415220515430
72234152655415405
oct242776617760312
943584020635730
1011201111122122
113629401241659
12130aa2554bb76
1363334c9b942c
142aa1cb04cd3c
1514657745ed4c
hexa2ff63fe0ca

11201111122122 has 128 divisors (see below), whose sum is σ = 25096458240000. Its totient is φ = 3703088975040.

The previous prime is 11201111122109. The next prime is 11201111122133. The reversal of 11201111122122 is 22122111110211.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11201111122095 and 11201111122104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5002728279 + ... + 5002730517.

It is an arithmetic number, because the mean of its divisors is an integer number (196066080000).

Almost surely, 211201111122122 is an apocalyptic number.

11201111122122 is an abundant number, since it is smaller than the sum of its proper divisors (13895347117878).

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

11201111122122 is a wasteful number, since it uses less digits than its factorization.

11201111122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3793 (or 3787 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11201111122122 its reverse (22122111110211), we get a palindrome (33323222232333).

The spelling of 11201111122122 in words is "eleven trillion, two hundred one billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 211 422 599 633 733 1198 1266 1466 1797 1899 2199 2239 3594 3798 4398 4478 5391 5697 6597 6717 10782 11394 13194 13434 16173 19791 20151 32346 39582 40302 60453 120906 126389 154663 252778 309326 379167 439067 463989 472429 758334 878134 927978 944858 1137501 1317201 1341161 1391967 1417287 1641187 2275002 2634402 2682322 2783934 2834574 3282374 3412503 3951603 4023483 4175901 4251861 4923561 6825006 7903206 8046966 8351802 8503722 9847122 11854809 12070449 12755583 14770683 23709618 24140898 25511166 29541366 36211347 44312049 72422694 88624098 92643137 185286274 277929411 282984971 346290457 555858822 565969942 692580914 833788233 848954913 983071013 1038871371 1667576466 1697909826 1966142026 2077742742 2501364699 2546864739 2949213039 3116614113 5002729398 5093729478 5898426078 6233228226 7640594217 8847639117 9349842339 15281188434 17695278234 18699684678 26542917351 53085834702 207427983743 414855967486 622283951229 1244567902458 1866851853687 3733703707374 5600555561061 11201111122122