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122231122001 is a prime number
BaseRepresentation
bin111000111010110001…
…0101110100001010001
3102200111111102100111122
41301311202232201101
54000312131401001
6132052513052025
711555000252162
oct1616542564121
9380444370448
10122231122001
11479243110aa
121b832b57015
13b6ac4c45c1
145cb77a5769
1532a5cbdb1b
hex1c758ae851

122231122001 has 2 divisors, whose sum is σ = 122231122002. Its totient is φ = 122231122000.

The previous prime is 122231121973. The next prime is 122231122067. The reversal of 122231122001 is 100221132221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61901937601 + 60329184400 = 248801^2 + 245620^2 .

It is a cyclic number.

It is not a de Polignac number, because 122231122001 - 226 = 122164013137 is a prime.

It is not a weakly prime, because it can be changed into another prime (122231122201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61115561000 + 61115561001.

It is an arithmetic number, because the mean of its divisors is an integer number (61115561001).

Almost surely, 2122231122001 is an apocalyptic number.

It is an amenable number.

122231122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122231122001 is an equidigital number, since it uses as much as digits as its factorization.

122231122001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 122231122001 its reverse (100221132221), we get a palindrome (222452254222).

The spelling of 122231122001 in words is "one hundred twenty-two billion, two hundred thirty-one million, one hundred twenty-two thousand, one".