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122011222141 is a prime number
BaseRepresentation
bin111000110100001101…
…1111000000001111101
3102122221011122021121101
41301220123320001331
53444334333102031
6132015015533101
711546360163544
oct1615033700175
9378834567541
10122011222141
1147821177086
121b79138a191
13b675a90643
145c964c315b
153291833361
hex1c686f807d

122011222141 has 2 divisors, whose sum is σ = 122011222142. Its totient is φ = 122011222140.

The previous prime is 122011222129. The next prime is 122011222171. The reversal of 122011222141 is 141222110221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121180572100 + 830650041 = 348110^2 + 28821^2 .

It is a cyclic number.

It is not a de Polignac number, because 122011222141 - 225 = 121977667709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122011222171) 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, 61005611070 + 61005611071.

It is an arithmetic number, because the mean of its divisors is an integer number (61005611071).

Almost surely, 2122011222141 is an apocalyptic number.

It is an amenable number.

122011222141 is a deficient number, since it is larger than the sum of its proper divisors (1).

122011222141 is an equidigital number, since it uses as much as digits as its factorization.

122011222141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122011222141 its reverse (141222110221), we get a palindrome (263233332362).

The spelling of 122011222141 in words is "one hundred twenty-two billion, eleven million, two hundred twenty-two thousand, one hundred forty-one".