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211211212212112 = 24721012667347093
BaseRepresentation
bin110000000001100001110001…
…010001101100011110010000
31000200211121001112022210220111
4300001201301101230132100
5210140441030311241422
62025113031423451104
762326335506630200
oct6001416121543620
91020747045283814
10211211212212112
1161331199035362
121b832193756a94
1390b119389b428
143a2296a3cc400
15196414d1c9a77
hexc0187146c790

211211212212112 has 60 divisors (see below), whose sum is σ = 480746636139996. Its totient is φ = 89622862291200.

The previous prime is 211211212212047. The next prime is 211211212212131. The reversal of 211211212212112 is 211212212112112.

It can be written as a sum of positive squares in 2 ways, for example, as 201357916324096 + 9853295888016 = 14190064^2 + 3138996^2 .

It is a super-2 number, since 2×2112112122121122 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1333594363 + ... + 1333752730.

Almost surely, 2211211212212112 is an apocalyptic number.

It is an amenable number.

211211212212112 is an abundant number, since it is smaller than the sum of its proper divisors (269535423927884).

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

211211212212112 is a wasteful number, since it uses less digits than its factorization.

211211212212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667347216 (or 2667347203 counting only the distinct ones).

The product of its digits is 128, while the sum is 22.

Adding to 211211212212112 its reverse (211212212112112), we get a palindrome (422423424324224).

The spelling of 211211212212112 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred twelve million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 101 112 196 202 392 404 707 784 808 1414 1616 2828 4949 5656 9898 11312 19796 39592 79184 2667347093 5334694186 10669388372 18671429651 21338776744 37342859302 42677553488 74685718604 130700007557 149371437208 261400015114 269402056393 298742874416 522800030228 538804112786 1045600060456 1077608225572 1885814394751 2091200120912 2155216451144 3771628789502 4310432902288 7543257579004 13200700763257 15086515158008 26401401526514 30173030316016 52802803053028 105605606106056 211211212212112