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123222121201 is a prime number
BaseRepresentation
bin111001011000010011…
…1000101101011110001
3102210001120011022211201
41302300213011223301
54004324330334301
6132335113411201
711621362514524
oct1626047055361
9383046138751
10123222121201
1148292747503
121ba6aa09b01
13b8098cc96a
145d6d24cbbb
153312cc3201
hex1cb09c5af1

123222121201 has 2 divisors, whose sum is σ = 123222121202. Its totient is φ = 123222121200.

The previous prime is 123222121193. The next prime is 123222121223. The reversal of 123222121201 is 102121222321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98220186801 + 25001934400 = 313401^2 + 158120^2 .

It is a cyclic number.

It is not a de Polignac number, because 123222121201 - 23 = 123222121193 is a prime.

It is not a weakly prime, because it can be changed into another prime (123222121271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61611060600 + 61611060601.

It is an arithmetic number, because the mean of its divisors is an integer number (61611060601).

Almost surely, 2123222121201 is an apocalyptic number.

It is an amenable number.

123222121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

123222121201 is an equidigital number, since it uses as much as digits as its factorization.

123222121201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 123222121201 its reverse (102121222321), we get a palindrome (225343343522).

The spelling of 123222121201 in words is "one hundred twenty-three billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred one".