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122123111233 is a prime number
BaseRepresentation
bin111000110111100011…
…0101100101101000001
3102200012222011211120211
41301233012230231001
54000102004024413
6132034054034121
711552216214034
oct1615706545501
9380188154524
10122123111233
1147879349002
121b802948941
13b6930077c6
145ca72cb01b
15329b58583d
hex1c6f1acb41

122123111233 has 2 divisors, whose sum is σ = 122123111234. Its totient is φ = 122123111232.

The previous prime is 122123111203. The next prime is 122123111239. The reversal of 122123111233 is 332111321221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115921863729 + 6201247504 = 340473^2 + 78748^2 .

It is a cyclic number.

It is not a de Polignac number, because 122123111233 - 225 = 122089556801 is a prime.

It is not a weakly prime, because it can be changed into another prime (122123111239) 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, 61061555616 + 61061555617.

It is an arithmetic number, because the mean of its divisors is an integer number (61061555617).

Almost surely, 2122123111233 is an apocalyptic number.

It is an amenable number.

122123111233 is a deficient number, since it is larger than the sum of its proper divisors (1).

122123111233 is an equidigital number, since it uses as much as digits as its factorization.

122123111233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 22.

Adding to 122123111233 its reverse (332111321221), we get a palindrome (454234432454).

The spelling of 122123111233 in words is "one hundred twenty-two billion, one hundred twenty-three million, one hundred eleven thousand, two hundred thirty-three".