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12130001232021 = 3297112912307013
BaseRepresentation
bin1011000010000011110001…
…1010100010000010010101
31120221121122122022221102200
42300200330122202002111
53042214220303411041
641444240131355113
72361235511160531
oct260407432420225
946847578287380
1012130001232021
113957339515632
12143aa60a52a99
1369cb1490610a
142dd1492c8bc1
151607e0e291b6
hexb083c6a2095

12130001232021 has 24 divisors (see below), whose sum is σ = 17717423494680. Its totient is φ = 7996210292736.

The previous prime is 12130001232017. The next prime is 12130001232049. The reversal of 12130001232021 is 12023210003121.

12130001232021 is a `hidden beast` number, since 1 + 21 + 300 + 0 + 1 + 2 + 320 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 578533656996 + 11551467575025 = 760614^2 + 3398745^2 .

It is not a de Polignac number, because 12130001232021 - 22 = 12130001232017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12130001231985 and 12130001232003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130001232071) 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 23 ways as a sum of consecutive naturals, for example, 5167890 + ... + 7139123.

It is an arithmetic number, because the mean of its divisors is an integer number (738225978945).

Almost surely, 212130001232021 is an apocalyptic number.

It is an amenable number.

12130001232021 is a deficient number, since it is larger than the sum of its proper divisors (5587422262659).

12130001232021 is a wasteful number, since it uses less digits than its factorization.

12130001232021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12308245 (or 12308242 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12130001232021 its reverse (12023210003121), we get a palindrome (24153211235142).

The spelling of 12130001232021 in words is "twelve trillion, one hundred thirty billion, one million, two hundred thirty-two thousand, twenty-one".

Divisors: 1 3 9 97 291 873 1129 3387 10161 109513 328539 985617 12307013 36921039 110763117 1193780261 3581340783 10744022349 13894617677 41683853031 125051559093 1347777914669 4043333744007 12130001232021