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122123111329 is a prime number
BaseRepresentation
bin111000110111100011…
…0101100101110100001
3102200012222011211201101
41301233012230232201
54000102004030304
6132034054034401
711552216214232
oct1615706545641
9380188154641
10122123111329
114787934908a
121b802948a01
13b69300786b
145ca72cb089
15329b5858a4
hex1c6f1acba1

122123111329 has 2 divisors, whose sum is σ = 122123111330. Its totient is φ = 122123111328.

The previous prime is 122123111317. The next prime is 122123111381. The reversal of 122123111329 is 923111321221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94790094400 + 27333016929 = 307880^2 + 165327^2 .

It is a cyclic number.

It is not a de Polignac number, because 122123111329 - 211 = 122123109281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122123111297 and 122123111306.

It is not a weakly prime, because it can be changed into another prime (122123171329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061555664 + 61061555665.

It is an arithmetic number, because the mean of its divisors is an integer number (61061555665).

Almost surely, 2122123111329 is an apocalyptic number.

It is an amenable number.

122123111329 is a deficient number, since it is larger than the sum of its proper divisors (1).

122123111329 is an equidigital number, since it uses as much as digits as its factorization.

122123111329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1296, while the sum is 28.

The spelling of 122123111329 in words is "one hundred twenty-two billion, one hundred twenty-three million, one hundred eleven thousand, three hundred twenty-nine".