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12212111221220 = 2254349958748479
BaseRepresentation
bin1011000110110101101010…
…0011010010000111100100
31121020110121000202120110202
42301231122203102013210
53100040400433034340
641550055541410032
72400203333442251
oct261553243220744
947213530676422
1012212111221220
113989144462839
121452957409918
136a779bc15741
143030d8390428
151629e9784c15
hexb1b5a8d21e4

12212111221220 has 96 divisors (see below), whose sum is σ = 26339765760000. Its totient is φ = 4753471895424.

The previous prime is 12212111221187. The next prime is 12212111221237. The reversal of 12212111221220 is 2212211121221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12212111221192 and 12212111221201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251880941 + ... + 251929419.

It is an arithmetic number, because the mean of its divisors is an integer number (274372560000).

Almost surely, 212212111221220 is an apocalyptic number.

12212111221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212111221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13169882880000).

12212111221220 is an abundant number, since it is smaller than the sum of its proper divisors (14127654538780).

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

12212111221220 is a wasteful number, since it uses less digits than its factorization.

12212111221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49617 (or 49615 counting only the distinct ones).

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

Adding to 12212111221220 its reverse (2212211121221), we get a palindrome (14424322342441).

Subtracting from 12212111221220 its reverse (2212211121221), we obtain a palindrome (9999900099999).

The spelling of 12212111221220 in words is "twelve trillion, two hundred twelve billion, one hundred eleven million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 499 587 860 998 1174 1996 2348 2495 2935 4990 5870 9980 11740 21457 25241 42914 48479 50482 85828 96958 100964 107285 126205 193916 214570 242395 252410 292913 429140 484790 504820 585826 969580 1171652 1464565 2084597 2929130 4169194 5858260 8338388 10422985 12595259 20845970 24191021 25190518 28457173 41691940 48382042 50381036 56914346 62976295 96764084 113828692 120955105 125952590 142285865 241910210 251905180 284571730 483820420 569143460 1040213903 1223658439 2080427806 2447316878 4160855612 4894633756 5201069515 6118292195 10402139030 12236584390 14200129327 20804278060 24473168780 28400258654 56800517308 71000646635 142001293270 284002586540 610605561061 1221211122122 2442422244244 3053027805305 6106055610610 12212111221220