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12200001111111 = 311171071086118713
BaseRepresentation
bin1011000110001000100010…
…1110111000010001000111
31121012022100001110020110010
42301202020232320101013
53044341100241023421
641540334140001303
72366264254264632
oct261421056702107
947168301406403
1012200001111111
113983a9a634880
121450537830233
136a65bc00a708
143026a9cacc19
1516253b514076
hexb1888bb8447

12200001111111 has 64 divisors (see below), whose sum is σ = 18967667222016. Its totient is φ = 6892961894400.

The previous prime is 12200001111101. The next prime is 12200001111113. The reversal of 12200001111111 is 11111110000221.

It is not a de Polignac number, because 12200001111111 - 25 = 12200001111079 is a prime.

It is a super-2 number, since 2×122000011111112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200001111113) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 651943891 + ... + 651962603.

It is an arithmetic number, because the mean of its divisors is an integer number (296369800344).

Almost surely, 212200001111111 is an apocalyptic number.

12200001111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12200001111111 is a deficient number, since it is larger than the sum of its proper divisors (6767666110905).

12200001111111 is a wasteful number, since it uses less digits than its factorization.

12200001111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29712.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 12200001111111 its reverse (11111110000221), we get a palindrome (23311111111332).

The spelling of 12200001111111 in words is "twelve trillion, two hundred billion, one million, one hundred eleven thousand, one hundred eleven".

Divisors: 1 3 11 17 33 51 107 187 321 561 1177 1819 3531 5457 10861 18713 20009 32583 56139 60027 119471 184637 205843 318121 358413 553911 617529 954363 1162127 2002291 2031007 3486381 3499331 6006873 6093021 10497993 12783397 19756159 22025201 34038947 38350191 59268477 66075603 102116841 203241893 217317749 374428417 609725679 651953247 1123285251 2235660823 3455112181 6706982469 10365336543 21746882551 38006233991 65240647653 114018701973 239215708061 369697003367 717647124183 1109091010101 4066667037037 12200001111111