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12111220221111 = 33118325919367
BaseRepresentation
bin1011000000111101110011…
…1110101010010010110111
31120212211011202112201212000
42300033130332222102313
53041412234334033421
641431452345230343
72360002220210634
oct260173476522267
946784152481760
1012111220221111
11394a381092110
12143729b1923b3
1369b110940bcb
142dc286c7718b
151600921ea226
hexb03dcfaa4b7

12111220221111 has 48 divisors (see below), whose sum is σ = 19812361470720. Its totient is φ = 7251696899280.

The previous prime is 12111220221049. The next prime is 12111220221119. The reversal of 12111220221111 is 11112202211121.

It is a happy number.

12111220221111 is a `hidden beast` number, since 1 + 2 + 111 + 220 + 221 + 111 = 666.

It is a de Polignac number, because none of the positive numbers 2k-12111220221111 is a prime.

It is a super-4 number, since 4×121112202211114 (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111220221119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 913651 + ... + 5005716.

It is an arithmetic number, because the mean of its divisors is an integer number (412757530640).

Almost surely, 212111220221111 is an apocalyptic number.

12111220221111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12111220221111 is a deficient number, since it is larger than the sum of its proper divisors (7701141249609).

12111220221111 is an equidigital number, since it uses as much as digits as its factorization.

12111220221111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5919553 (or 5919464 counting only the distinct ones).

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

Adding to 12111220221111 its reverse (11112202211121), we get a palindrome (23223422432232).

It can be divided in two parts, 1 and 2111220221111, that added together give a palindrome (2111220221112).

The spelling of 12111220221111 in words is "twelve trillion, one hundred eleven billion, two hundred twenty million, two hundred twenty-one thousand, one hundred eleven".

Divisors: 1 3 9 11 27 33 83 99 249 297 747 913 2241 2739 6889 8217 20667 24651 62001 75779 186003 227337 682011 2046033 5919367 17758101 53274303 65113037 159822909 195339111 491307461 586017333 1473922383 1758051999 4421767149 5404382071 13265301447 16213146213 40778519263 48639438639 122335557789 145918315917 367006673367 448563711893 1101020020101 1345691135679 4037073407037 12111220221111