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12111222215105 = 5132939716184009
BaseRepresentation
bin1011000000111101110100…
…0110010001000111000001
31120212211011220022001002122
42300033131012101013001
53041412240341340410
641431452500054025
72360002243154216
oct260173506210701
946784156261078
1012111222215105
11394a382224242
12143729b994315
1369b11118b6a0
142dc287235b0d
15160092490e55
hexb03dd1911c1

12111222215105 has 32 divisors (see below), whose sum is σ = 16231914669600. Its totient is φ = 8613517473792.

The previous prime is 12111222215089. The next prime is 12111222215129. The reversal of 12111222215105 is 50151222211121.

It can be written as a sum of positive squares in 16 ways, for example, as 842048487424 + 11269173727681 = 917632^2 + 3356959^2 .

It is a cyclic number.

It is not a de Polignac number, because 12111222215105 - 24 = 12111222215089 is a prime.

It is a super-2 number, since 2×121112222151052 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7343660 + ... + 8840349.

It is an arithmetic number, because the mean of its divisors is an integer number (507247333425).

Almost surely, 212111222215105 is an apocalyptic number.

It is an amenable number.

12111222215105 is a deficient number, since it is larger than the sum of its proper divisors (4120692454495).

12111222215105 is a wasteful number, since it uses less digits than its factorization.

12111222215105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16184453.

The product of its (nonzero) digits is 800, while the sum is 26.

Adding to 12111222215105 its reverse (50151222211121), we get a palindrome (62262444426226).

The spelling of 12111222215105 in words is "twelve trillion, one hundred eleven billion, two hundred twenty-two million, two hundred fifteen thousand, one hundred five".

Divisors: 1 5 13 29 65 145 377 397 1885 1985 5161 11513 25805 57565 149669 748345 16184009 80920045 210392117 469336261 1051960585 2346681305 6101371393 6425051573 30506856965 32125257865 83525670449 186326495617 417628352245 931632478085 2422244443021 12111222215105