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12121333117 is a prime number
BaseRepresentation
bin10110100100111110…
…01101110101111101
31011021202102112002121
423102133031311331
5144311030124432
65322442122541
7606243426415
oct132237156575
934252375077
1012121333117
1151601a3a83
1224234b0451
1311b233747a
1482dba3645
154ae23b197
hex2d27cdd7d

12121333117 has 2 divisors, whose sum is σ = 12121333118. Its totient is φ = 12121333116.

The previous prime is 12121333067. The next prime is 12121333151. The reversal of 12121333117 is 71133312121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7206481881 + 4914851236 = 84891^2 + 70106^2 .

It is an emirp because it is prime and its reverse (71133312121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12121333117 - 211 = 12121331069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12121333091 and 12121333100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12121333187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060666558 + 6060666559.

It is an arithmetic number, because the mean of its divisors is an integer number (6060666559).

Almost surely, 212121333117 is an apocalyptic number.

It is an amenable number.

12121333117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121333117 is an equidigital number, since it uses as much as digits as its factorization.

12121333117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 756, while the sum is 25.

Adding to 12121333117 its reverse (71133312121), we get a palindrome (83254645238).

The spelling of 12121333117 in words is "twelve billion, one hundred twenty-one million, three hundred thirty-three thousand, one hundred seventeen".