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12232120013 is a prime number
BaseRepresentation
bin10110110010001011…
…10101011011001101
31011120110220002010222
423121011311123031
5200022410320023
65341440441125
7612060206321
oct133105653315
934513802128
1012232120013
1152077928a3
1224546191a5
1311cc286a49
148407a1981
154b8d21cc8
hex2d91756cd

12232120013 has 2 divisors, whose sum is σ = 12232120014. Its totient is φ = 12232120012.

The previous prime is 12232119979. The next prime is 12232120079. The reversal of 12232120013 is 31002123221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11513719204 + 718400809 = 107302^2 + 26803^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12232120013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12232119973 and 12232120000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12232120093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6116060006 + 6116060007.

It is an arithmetic number, because the mean of its divisors is an integer number (6116060007).

Almost surely, 212232120013 is an apocalyptic number.

It is an amenable number.

12232120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12232120013 is an equidigital number, since it uses as much as digits as its factorization.

12232120013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12232120013 its reverse (31002123221), we get a palindrome (43234243234).

The spelling of 12232120013 in words is "twelve billion, two hundred thirty-two million, one hundred twenty thousand, thirteen".