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12122202020129 is a prime number
BaseRepresentation
bin1011000001100110101110…
…0010111001100100100001
31120220212112002201221000222
42300121223202321210201
53042102232204121004
641440510203252425
72360541316026455
oct260315342714441
946825462657028
1012122202020129
113953aa7019273
121439444b1a115
1369c170b64c36
142dca0956a665
151604d63917be
hexb066b8b9921

12122202020129 has 2 divisors, whose sum is σ = 12122202020130. Its totient is φ = 12122202020128.

The previous prime is 12122202020111. The next prime is 12122202020143. The reversal of 12122202020129 is 92102020222121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7840812021025 + 4281389999104 = 2800145^2 + 2069152^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12122202020129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122202020098 and 12122202020107.

It is not a weakly prime, because it can be changed into another prime (12122202022129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061101010064 + 6061101010065.

It is an arithmetic number, because the mean of its divisors is an integer number (6061101010065).

Almost surely, 212122202020129 is an apocalyptic number.

It is an amenable number.

12122202020129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122202020129 is an equidigital number, since it uses as much as digits as its factorization.

12122202020129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 12122202020129 in words is "twelve trillion, one hundred twenty-two billion, two hundred two million, twenty thousand, one hundred twenty-nine".