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122311212241 is a prime number
BaseRepresentation
bin111000111101001010…
…0001111110011010001
3102200201002010100122211
41301322110033303101
54000443132242431
6132104453432121
711556662102341
oct1617224176321
9380632110584
10122311212241
1147965544089
121b85593b641
13b6c2c86a8a
145cc4292d21
1532acd3e2b1
hex1c7a50fcd1

122311212241 has 2 divisors, whose sum is σ = 122311212242. Its totient is φ = 122311212240.

The previous prime is 122311212209. The next prime is 122311212253. The reversal of 122311212241 is 142212113221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121101216016 + 1209996225 = 347996^2 + 34785^2 .

It is a cyclic number.

It is not a de Polignac number, because 122311212241 - 25 = 122311212209 is a prime.

It is not a weakly prime, because it can be changed into another prime (122311212641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61155606120 + 61155606121.

It is an arithmetic number, because the mean of its divisors is an integer number (61155606121).

Almost surely, 2122311212241 is an apocalyptic number.

It is an amenable number.

122311212241 is a deficient number, since it is larger than the sum of its proper divisors (1).

122311212241 is an equidigital number, since it uses as much as digits as its factorization.

122311212241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 384, while the sum is 22.

Adding to 122311212241 its reverse (142212113221), we get a palindrome (264523325462).

The spelling of 122311212241 in words is "one hundred twenty-two billion, three hundred eleven million, two hundred twelve thousand, two hundred forty-one".