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122210002129 is a prime number
BaseRepresentation
bin111000111010001001…
…0001010010011010001
3102200110000200100111011
41301310102022103101
54000241230032004
6132050440250521
711554322610205
oct1616422122321
9380400610434
10122210002129
11479133a6466
121b827a70a41
13b6a800b537
145cb4a68b05
1532a3eeb004
hex1c7448a4d1

122210002129 has 2 divisors, whose sum is σ = 122210002130. Its totient is φ = 122210002128.

The previous prime is 122210002091. The next prime is 122210002157. The reversal of 122210002129 is 921200012221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81494833729 + 40715168400 = 285473^2 + 201780^2 .

It is a cyclic number.

It is not a de Polignac number, because 122210002129 - 27 = 122210002001 is a prime.

It is not a weakly prime, because it can be changed into another prime (122210002829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61105001064 + 61105001065.

It is an arithmetic number, because the mean of its divisors is an integer number (61105001065).

Almost surely, 2122210002129 is an apocalyptic number.

It is an amenable number.

122210002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

122210002129 is an equidigital number, since it uses as much as digits as its factorization.

122210002129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 122210002129 in words is "one hundred twenty-two billion, two hundred ten million, two thousand, one hundred twenty-nine".