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12211122211211 = 7211531014232233
BaseRepresentation
bin1011000110110001111110…
…0110100000100110001011
31121020101001002202122210102
42301230133212200212023
53100031334241224321
641545413451440015
72400136664133200
oct261543746404613
947211032678712
1012211122211211
1139887871659a0
12145272015600b
136a7672055911
14303042ca3ca7
1516298ca24c0b
hexb1b1f9a098b

12211122211211 has 48 divisors (see below), whose sum is σ = 15944823092448. Its totient is φ = 9243194688000.

The previous prime is 12211122211103. The next prime is 12211122211229. The reversal of 12211122211211 is 11211222111221.

It is a happy number.

12211122211211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12211122211211 - 234 = 12193942342027 is a prime.

It is a super-2 number, since 2×122111222112112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12211122241211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 769151 + ... + 5001383.

It is an arithmetic number, because the mean of its divisors is an integer number (332183814426).

Almost surely, 212211122211211 is an apocalyptic number.

12211122211211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12211122211211 is a deficient number, since it is larger than the sum of its proper divisors (3733700881237).

12211122211211 is a wasteful number, since it uses less digits than its factorization.

12211122211211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232412 (or 4232405 counting only the distinct ones).

The product of its digits is 64, while the sum is 20.

Adding to 12211122211211 its reverse (11211222111221), we get a palindrome (23422344322432).

It can be divided in two parts, 122111 and 22211211, that added together give a palindrome (22333322).

The spelling of 12211122211211 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-two million, two hundred eleven thousand, two hundred eleven".

Divisors: 1 7 11 49 53 77 101 371 539 583 707 1111 2597 4081 4949 5353 7777 28567 37471 54439 58883 262297 412181 2885267 4232233 29625631 46554563 207379417 224308349 325881941 427455533 1570158443 2281173587 2467391839 2992188731 4702010863 10991109101 17271742873 20945321117 22655143249 32914076041 120902200111 158586002743 230398532287 249206575739 1110102019201 1744446030173 12211122211211