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12132222223121 = 7111344327359147
BaseRepresentation
bin1011000010001100000011…
…0010111100001100010001
31120221211101102111222110022
42300203000302330030101
53042233242342114441
641445244351113225
72361344530244330
oct260430062741421
946854342458408
1012132222223121
113958279182070
12143b380812815
136a00a9aa7030
142dd2ba26bd17
151608c0de084b
hexb08c0cbc311

12132222223121 has 32 divisors (see below), whose sum is σ = 16326188540928. Its totient is φ = 8706774623040.

The previous prime is 12132222223097. The next prime is 12132222223183.

12132222223121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12132222223121 - 222 = 12132218028817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12132222225121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13236131 + ... + 14123016.

It is an arithmetic number, because the mean of its divisors is an integer number (510193391904).

Almost surely, 212132222223121 is an apocalyptic number.

12132222223121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12132222223121 is a deficient number, since it is larger than the sum of its proper divisors (4193966317807).

12132222223121 is a wasteful number, since it uses less digits than its factorization.

12132222223121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27359621.

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 1213222 and 2223121, that added together give a palindrome (3436343).

The spelling of 12132222223121 in words is "twelve trillion, one hundred thirty-two billion, two hundred twenty-two million, two hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 443 1001 3101 4873 5759 34111 40313 63349 443443 27359147 191514029 300950617 355668911 2106654319 2489682377 3912358021 12120102121 27386506147 84840714847 133321123331 157561327573 933247863317 1102929293011 1733174603303 12132222223121