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112212212252201 is a prime number
BaseRepresentation
bin11001100000111001110001…
…000011001111111000101001
3112201022101100000012000012122
4121200321301003033320221
5104201441102314032301
61034353324553521025
732431031140432505
oct3140716103177051
9481271300160178
10112212212252201
1132832a284a4a96
121070358aa13175
134a7c748c73519
141d9d158781305
15ce8d6cd5e81b
hex660e710cfe29

112212212252201 has 2 divisors, whose sum is σ = 112212212252202. Its totient is φ = 112212212252200.

The previous prime is 112212212252191. The next prime is 112212212252207. The reversal of 112212212252201 is 102252212212211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65038337683225 + 47173874568976 = 8064635^2 + 6868324^2 .

It is a cyclic number.

It is not a de Polignac number, because 112212212252201 - 214 = 112212212235817 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (112212212252207) 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, 56106106126100 + 56106106126101.

It is an arithmetic number, because the mean of its divisors is an integer number (56106106126101).

Almost surely, 2112212212252201 is an apocalyptic number.

It is an amenable number.

112212212252201 is a deficient number, since it is larger than the sum of its proper divisors (1).

112212212252201 is an equidigital number, since it uses as much as digits as its factorization.

112212212252201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1280, while the sum is 26.

Adding to 112212212252201 its reverse (102252212212211), we get a palindrome (214464424464412).

The spelling of 112212212252201 in words is "one hundred twelve trillion, two hundred twelve billion, two hundred twelve million, two hundred fifty-two thousand, two hundred one".