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123201122221 is a prime number
BaseRepresentation
bin111001010111101011…
…0111110111110101101
3102210000002122110122201
41302233112332332231
54004303441402341
6132333043341501
711621016155152
oct1625726767655
9383002573581
10123201122221
1148281904681
121ba63981891
13b805459928
145d6a544229
153311026331
hex1caf5befad

123201122221 has 2 divisors, whose sum is σ = 123201122222. Its totient is φ = 123201122220.

The previous prime is 123201122201. The next prime is 123201122321. The reversal of 123201122221 is 122221102321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116459070121 + 6742052100 = 341261^2 + 82110^2 .

It is an emirp because it is prime and its reverse (122221102321) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123201122221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123201122201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61600561110 + 61600561111.

It is an arithmetic number, because the mean of its divisors is an integer number (61600561111).

Almost surely, 2123201122221 is an apocalyptic number.

It is an amenable number.

123201122221 is a deficient number, since it is larger than the sum of its proper divisors (1).

123201122221 is an equidigital number, since it uses as much as digits as its factorization.

123201122221 is an evil number, because the sum of its binary digits is even.

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

Adding to 123201122221 its reverse (122221102321), we get a palindrome (245422224542).

The spelling of 123201122221 in words is "one hundred twenty-three billion, two hundred one million, one hundred twenty-two thousand, two hundred twenty-one".