Search a number
-
+
12102201232121 = 7112132394598749
BaseRepresentation
bin1011000000011100001101…
…1001111100101011111001
31120211221220012201121211202
42300013003121330223321
53041240302003411441
641423401405103545
72356232554111250
oct260070331745371
946757805647752
1012102201232121
113946573101200
1214355a2857bb5
1369a304272730
142dba6d11b797
1515ec1551c19b
hexb01c367caf9

12102201232121 has 48 divisors (see below), whose sum is σ = 16440715200000. Its totient is φ = 8668456030080.

The previous prime is 12102201232111. The next prime is 12102201232129. The reversal of 12102201232121 is 12123210220121.

It is not a de Polignac number, because 12102201232121 - 218 = 12102200969977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12102201232093 and 12102201232102.

It is not an unprimeable number, because it can be changed into a prime (12102201232129) 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 47 ways as a sum of consecutive naturals, for example, 332255 + ... + 4931003.

It is an arithmetic number, because the mean of its divisors is an integer number (342514900000).

Almost surely, 212102201232121 is an apocalyptic number.

12102201232121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12102201232121 is a deficient number, since it is larger than the sum of its proper divisors (4338513967879).

12102201232121 is a wasteful number, since it uses less digits than its factorization.

12102201232121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4599030 (or 4599019 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12102201232121 its reverse (12123210220121), we get a palindrome (24225411452242).

The spelling of 12102201232121 in words is "twelve trillion, one hundred two billion, two hundred one million, two hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 7 11 13 77 91 121 143 239 847 1001 1573 1673 2629 3107 11011 18403 21749 28919 34177 202433 239239 375947 2631629 4598749 32191243 50586239 59783737 354103673 418486159 556448629 657621107 1099101011 3895140403 4603347749 7233832177 7693707077 12090111121 14288313143 50636825239 84630777847 100018192001 132991222331 157171444573 930938556317 1100200112011 1728885890303 12102201232121