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12120130213033 is a prime number
BaseRepresentation
bin1011000001011111000000…
…0011100101010010101001
31120220200011201021012222211
42300113300003211102221
53042034011313304113
641435524433245121
72360436060663523
oct260276003452251
946820151235884
1012120130213033
1139531335969a7
121438b671037a1
1369bc0086868b
142dc89033ca13
15160414547b3d
hexb05f00e54a9

12120130213033 has 2 divisors, whose sum is σ = 12120130213034. Its totient is φ = 12120130213032.

The previous prime is 12120130213031. The next prime is 12120130213039. The reversal of 12120130213033 is 33031203102121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6510825863424 + 5609304349609 = 2551632^2 + 2368397^2 .

It is a cyclic number.

It is not a de Polignac number, because 12120130213033 - 21 = 12120130213031 is a prime.

Together with 12120130213031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12120130212995 and 12120130213013.

It is not a weakly prime, because it can be changed into another prime (12120130213031) 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, 6060065106516 + 6060065106517.

It is an arithmetic number, because the mean of its divisors is an integer number (6060065106517).

Almost surely, 212120130213033 is an apocalyptic number.

It is an amenable number.

12120130213033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12120130213033 is an equidigital number, since it uses as much as digits as its factorization.

12120130213033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12120130213033 its reverse (33031203102121), we get a palindrome (45151333315154).

The spelling of 12120130213033 in words is "twelve trillion, one hundred twenty billion, one hundred thirty million, two hundred thirteen thousand, thirty-three".