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12120211013121 = 328592503362627
BaseRepresentation
bin1011000001011111010011…
…0111110011111000000001
31120220200101100022021212200
42300113310313303320001
53042034143004404441
641435540441143413
72360441061531351
oct260276467637001
946820340267780
1012120211013121
113953175164232
121438b8a18ab69
1369bc14518c93
142dc89ad72b61
1516041b6a87b6
hexb05f4df3e01

12120211013121 has 24 divisors (see below), whose sum is σ = 17528332155360. Its totient is φ = 8070282956736.

The previous prime is 12120211013107. The next prime is 12120211013173. The reversal of 12120211013121 is 12131011202121.

It is a happy number.

12120211013121 is a `hidden beast` number, since 121 + 20 + 211 + 0 + 1 + 312 + 1 = 666.

It is not a de Polignac number, because 12120211013121 - 27 = 12120211012993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12120211013094 and 12120211013103.

It is not an unprimeable number, because it can be changed into a prime (12120211013191) 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 23 ways as a sum of consecutive naturals, for example, 193498810 + ... + 193561436.

It is an arithmetic number, because the mean of its divisors is an integer number (730347173140).

Almost surely, 212120211013121 is an apocalyptic number.

It is an amenable number.

12120211013121 is a deficient number, since it is larger than the sum of its proper divisors (5408121142239).

12120211013121 is a wasteful number, since it uses less digits than its factorization.

12120211013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88525 (or 88522 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12120211013121 its reverse (12131011202121), we get a palindrome (24251222215242).

The spelling of 12120211013121 in words is "twelve trillion, one hundred twenty billion, two hundred eleven million, thirteen thousand, one hundred twenty-one".

Divisors: 1 3 9 859 2577 7731 25033 62627 75099 187881 225297 563643 21503347 53796593 64510041 161389779 193530123 484169337 1567741691 4703225073 14109675219 1346690112569 4040070337707 12120211013121