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122223012001 is a prime number
BaseRepresentation
bin111000111010100001…
…1110010100010100001
3102200110221011022200021
41301311003302202201
54000303042341001
6132052023153441
711554541313646
oct1616503624241
9380427138607
10122223012001
114791a781a22
121b8302a5881
13b6aa91509c
145cb6693dcd
1532a521aba1
hex1c750f28a1

122223012001 has 2 divisors, whose sum is σ = 122223012002. Its totient is φ = 122223012000.

The previous prime is 122223011971. The next prime is 122223012007. The reversal of 122223012001 is 100210322221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121968577600 + 254434401 = 349240^2 + 15951^2 .

It is an emirp because it is prime and its reverse (100210322221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122223012001 - 225 = 122189457569 is a prime.

It is not a weakly prime, because it can be changed into another prime (122223012007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61111506000 + 61111506001.

It is an arithmetic number, because the mean of its divisors is an integer number (61111506001).

Almost surely, 2122223012001 is an apocalyptic number.

It is an amenable number.

122223012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122223012001 is an equidigital number, since it uses as much as digits as its factorization.

122223012001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 122223012001 its reverse (100210322221), we get a palindrome (222433334222).

The spelling of 122223012001 in words is "one hundred twenty-two billion, two hundred twenty-three million, twelve thousand, one".