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12200011022111 = 11171924671391861
BaseRepresentation
bin1011000110001000100101…
…0100101011111100011111
31121012022100202002202210012
42301202021110223330133
53044341110310201421
641540335132233435
72366264434443653
oct261421124537437
947168322082705
1012200011022111
113983aa5194090
12145053b00b87b
136a65c109a903
143026ab32ca63
1516253c32095b
hexb188952bf1f

12200011022111 has 32 divisors (see below), whose sum is σ = 14839698597120. Its totient is φ = 9885101068800.

The previous prime is 12200011022099. The next prime is 12200011022137. The reversal of 12200011022111 is 11122011000221.

It is a cyclic number.

It is not a de Polignac number, because 12200011022111 - 218 = 12200010759967 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200011024111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8069321 + ... + 9461181.

It is an arithmetic number, because the mean of its divisors is an integer number (463740581160).

Almost surely, 212200011022111 is an apocalyptic number.

12200011022111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12200011022111 is a deficient number, since it is larger than the sum of its proper divisors (2639687575009).

12200011022111 is a wasteful number, since it uses less digits than its factorization.

12200011022111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394375.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12200011022111 its reverse (11122011000221), we get a palindrome (23322022022332).

It can be divided in two parts, 122000 and 11022111, that added together give a palindrome (11144111).

The spelling of 12200011022111 in words is "twelve trillion, two hundred billion, eleven million, twenty-two thousand, one hundred eleven".

Divisors: 1 11 17 19 187 209 323 2467 3553 27137 41939 46873 461329 515603 796841 1391861 8765251 15310471 23661637 26445359 260278007 290898949 449571103 3433721087 4945282133 37770931957 58373258479 65240700653 642105843269 717647707183 1109091911101 12200011022111