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1222312032041 is a prime number
BaseRepresentation
bin10001110010010111011…
…110010111011100101001
311022212000000201202221112
4101302113132113130221
5130011243340011131
62333304500520105
7154211013563102
oct21622736273451
94285000652845
101222312032041
1143141a304aa1
12178a859b0035
138b356c8b229
14432358d13a9
1521bdd90302b
hex11c97797729

1222312032041 has 2 divisors, whose sum is σ = 1222312032042. Its totient is φ = 1222312032040.

The previous prime is 1222312032031. The next prime is 1222312032043. The reversal of 1222312032041 is 1402302132221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1189332019225 + 32980012816 = 1090565^2 + 181604^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1222312032041 is a prime.

It is a super-2 number, since 2×12223120320412 (a number of 25 digits) contains 22 as substring.

Together with 1222312032043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1222312031998 and 1222312032016.

It is not a weakly prime, because it can be changed into another prime (1222312032043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 611156016020 + 611156016021.

It is an arithmetic number, because the mean of its divisors is an integer number (611156016021).

Almost surely, 21222312032041 is an apocalyptic number.

It is an amenable number.

1222312032041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1222312032041 is an equidigital number, since it uses as much as digits as its factorization.

1222312032041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1222312032041 its reverse (1402302132221), we get a palindrome (2624614164262).

The spelling of 1222312032041 in words is "one trillion, two hundred twenty-two billion, three hundred twelve million, thirty-two thousand, forty-one".