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12211200112111 = 711313832275351
BaseRepresentation
bin1011000110110010010000…
…1111101011010111101111
31121020101020112100102201221
42301230210033223113233
53100032014212041421
641545425313244211
72400141631234420
oct261544417532757
947211215312657
1012211200112111
113988817133000
121452742263667
136a768522c720
1430304d381647
151629947b1841
hexb1b243eb5ef

12211200112111 has 128 divisors (see below), whose sum is σ = 16806966607872. Its totient is φ = 8637616944000.

The previous prime is 12211200112063. The next prime is 12211200112129. The reversal of 12211200112111 is 11121100211221.

It is not a de Polignac number, because 12211200112111 - 29 = 12211200111599 is a prime.

It is a super-2 number, since 2×122112001121112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211200112211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2282038086 + ... + 2282043436.

It is an arithmetic number, because the mean of its divisors is an integer number (131304426624).

Almost surely, 212211200112111 is an apocalyptic number.

12211200112111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12211200112111 is a deficient number, since it is larger than the sum of its proper divisors (4595766495761).

12211200112111 is a wasteful number, since it uses less digits than its factorization.

12211200112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5714 (or 5692 counting only the distinct ones).

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

Adding to 12211200112111 its reverse (11121100211221), we get a palindrome (23332300323332).

The spelling of 12211200112111 in words is "twelve trillion, two hundred eleven billion, two hundred million, one hundred twelve thousand, one hundred eleven".

Divisors: 1 7 11 13 77 83 91 121 143 227 581 847 913 1001 1079 1331 1573 1589 2497 2951 5351 6391 7553 9317 10043 11011 11869 17303 17479 18841 20657 27467 32461 37457 58861 69563 70301 83083 110473 121121 130559 131887 192269 207251 227227 244933 302137 357071 412027 444133 486941 647471 765193 773311 913913 1214677 1436149 1450757 1714531 2114959 2279761 2499497 2694263 3108931 3927781 4532297 4885463 5356351 5773729 7122181 8417123 8502739 10053043 13361447 15790801 15958327 18859841 25077371 27494467 29636893 34198241 40416103 49855267 53740093 58919861 63511019 92588353 93530129 100818191 110535607 146975917 173698811 175541597 207458251 326005823 376180651 444577133 591141023 648118471 698621209 705727337 1028831419 1109000101 1215891677 1310636483 1616735087 1910686921 2282040761 4137987161 4890348463 7684833299 7763000707 9174455381 11317145609 12199001111 13374808447 14417001313 21017556131 53793833093 85393007777 100919009191 134189012221 147122892917 158587014443 939323085547 1110109101101 1744457158873 12211200112111