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12120000313 is a prime number
BaseRepresentation
bin10110100100110100…
…01000011100111001
31011021122220210211111
423102122020130321
5144310210002223
65322353400321
7606226205611
oct132232103471
934248823744
1012120000313
11515a473693
122422b690a1
1311b1c8b925
1482d937a41
154ae07630d
hex2d2688739

12120000313 has 2 divisors, whose sum is σ = 12120000314. Its totient is φ = 12120000312.

The previous prime is 12120000241. The next prime is 12120000359. The reversal of 12120000313 is 31300002121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8554955049 + 3565045264 = 92493^2 + 59708^2 .

It is an emirp because it is prime and its reverse (31300002121) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12120000313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12120000293 and 12120000302.

It is not a weakly prime, because it can be changed into another prime (12120000413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060000156 + 6060000157.

It is an arithmetic number, because the mean of its divisors is an integer number (6060000157).

Almost surely, 212120000313 is an apocalyptic number.

It is an amenable number.

12120000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12120000313 is an equidigital number, since it uses as much as digits as its factorization.

12120000313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12120000313 its reverse (31300002121), we get a palindrome (43420002434).

The spelling of 12120000313 in words is "twelve billion, one hundred twenty million, three hundred thirteen", and thus it is an aban number.