112211232112337 has 2 divisors, whose sum is σ = 112211232112338. Its totient is φ = 112211232112336.

The previous prime is 112211232112261. The next prime is 112211232112363. The reversal of 112211232112337 is 733211232112211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96472548337936 + 15738683774401 = 9822044^2 + 3967201^2 .

It is a cyclic number.

It is not a de Polignac number, because 112211232112337 - 2¹⁶ = 112211232046801 is a prime.

It is a super-2 number, since 2×112211232112337² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112211232112037) 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, 56105616056168 + 56105616056169.

It is an arithmetic number, because the mean of its divisors is an integer number (56105616056169).

Almost surely, 2^{112211232112337} is an apocalyptic number.

It is an amenable number.

112211232112337 is a deficient number, since it is larger than the sum of its proper divisors (1).

112211232112337 is an equidigital number, since it uses as much as digits as its factorization.

112211232112337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 32.

Adding to 112211232112337 its reverse (733211232112211), we get a palindrome (845422464224548).

The spelling of 112211232112337 in words is "one hundred twelve trillion, two hundred eleven billion, two hundred thirty-two million, one hundred twelve thousand, three hundred thirty-seven".