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122011222261 is a prime number
BaseRepresentation
bin111000110100001101…
…1111000000011110101
3102122221011122021202211
41301220123320003311
53444334333103021
6132015015533421
711546360164105
oct1615033700365
9378834567684
10122011222261
1147821177185
121b79138a271
13b675a90706
145c964c3205
1532918333e1
hex1c686f80f5

122011222261 has 2 divisors, whose sum is σ = 122011222262. Its totient is φ = 122011222260.

The previous prime is 122011222243. The next prime is 122011222271. The reversal of 122011222261 is 162222110221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103134111025 + 18877111236 = 321145^2 + 137394^2 .

It is a cyclic number.

It is not a de Polignac number, because 122011222261 - 215 = 122011189493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122011222271) 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, 61005611130 + 61005611131.

It is an arithmetic number, because the mean of its divisors is an integer number (61005611131).

Almost surely, 2122011222261 is an apocalyptic number.

It is an amenable number.

122011222261 is a deficient number, since it is larger than the sum of its proper divisors (1).

122011222261 is an equidigital number, since it uses as much as digits as its factorization.

122011222261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 122011222261 its reverse (162222110221), we get a palindrome (284233332482).

The spelling of 122011222261 in words is "one hundred twenty-two billion, eleven million, two hundred twenty-two thousand, two hundred sixty-one".