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12231220212121 = 109433613422761
BaseRepresentation
bin1011000111111100110110…
…0010010011000110011001
31121022021220202200220000111
42301333031202103012121
53100344014333241441
642002540041404321
72401451016255061
oct261771542230631
947267822626014
1012231220212121
11399625aa404a9
1214565aaa996a1
136a9525b24151
14303dcc1ba3a1
1516326719d081
hexb1fcd893199

12231220212121 has 16 divisors (see below), whose sum is σ = 12392151938320. Its totient is φ = 12071265822720.

The previous prime is 12231220212097. The next prime is 12231220212143. The reversal of 12231220212121 is 12121202213221.

It can be written as a sum of positive squares in 8 ways, for example, as 6828756749721 + 5402463462400 = 2613189^2 + 2324320^2 .

It is a cyclic number.

It is not a de Polignac number, because 12231220212121 - 25 = 12231220212089 is a prime.

It is a super-3 number, since 3×122312202121213 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12231220212092 and 12231220212101.

It is not an unprimeable number, because it can be changed into a prime (12231220212821) 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 15 ways as a sum of consecutive naturals, for example, 28720381 + ... + 29143141.

It is an arithmetic number, because the mean of its divisors is an integer number (774509496145).

Almost surely, 212231220212121 is an apocalyptic number.

It is an amenable number.

12231220212121 is a deficient number, since it is larger than the sum of its proper divisors (160931726199).

12231220212121 is a wasteful number, since it uses less digits than its factorization.

12231220212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423916.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 12231220212121 its reverse (12121202213221), we get a palindrome (24352422425342).

The spelling of 12231220212121 in words is "twelve trillion, two hundred thirty-one billion, two hundred twenty million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 109 433 613 47197 66817 265429 422761 28931761 46080949 183055513 259152493 19953050917 28247621737 112213029469 12231220212121