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12120333331133 is a prime number
BaseRepresentation
bin1011000001011111110000…
…1010011010101010111101
31120220200200212110200122102
42300113330022122222331
53042034420313044013
641440000530554445
72360444105315546
oct260277412325275
946820625420572
1012120333331133
1139532282095a5
121439003138a25
1369bc33974cc1
142dc8ad2d34cd
151604272bad58
hexb05fc29aabd

12120333331133 has 2 divisors, whose sum is σ = 12120333331134. Its totient is φ = 12120333331132.

The previous prime is 12120333331123. The next prime is 12120333331157. The reversal of 12120333331133 is 33113333302121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11578251598489 + 542081732644 = 3402683^2 + 736262^2 .

It is a cyclic number.

It is not a de Polignac number, because 12120333331133 - 220 = 12120332282557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12120333331096 and 12120333331105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12120333331123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060166665566 + 6060166665567.

It is an arithmetic number, because the mean of its divisors is an integer number (6060166665567).

Almost surely, 212120333331133 is an apocalyptic number.

It is an amenable number.

12120333331133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12120333331133 is an equidigital number, since it uses as much as digits as its factorization.

12120333331133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 12120333331133 its reverse (33113333302121), we get a palindrome (45233666633254).

The spelling of 12120333331133 in words is "twelve trillion, one hundred twenty billion, three hundred thirty-three million, three hundred thirty-one thousand, one hundred thirty-three".