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122022131041 is a prime number
BaseRepresentation
bin111000110100100010…
…1011111010101100001
3102122221221011111210201
41301221011133111201
53444400131143131
6132020045425201
711546552000116
oct1615105372541
9378857144721
10122022131041
11478273480a8
121b794b6b201
13b67810cb05
145c97b2290d
15329278a761
hex1c6915f561

122022131041 has 2 divisors, whose sum is σ = 122022131042. Its totient is φ = 122022131040.

The previous prime is 122022130903. The next prime is 122022131051. The reversal of 122022131041 is 140131220221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119632974400 + 2389156641 = 345880^2 + 48879^2 .

It is an emirp because it is prime and its reverse (140131220221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122022131041 - 227 = 121887913313 is a prime.

It is not a weakly prime, because it can be changed into another prime (122022131051) 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, 61011065520 + 61011065521.

It is an arithmetic number, because the mean of its divisors is an integer number (61011065521).

Almost surely, 2122022131041 is an apocalyptic number.

It is an amenable number.

122022131041 is a deficient number, since it is larger than the sum of its proper divisors (1).

122022131041 is an equidigital number, since it uses as much as digits as its factorization.

122022131041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 122022131041 its reverse (140131220221), we get a palindrome (262153351262).

The spelling of 122022131041 in words is "one hundred twenty-two billion, twenty-two million, one hundred thirty-one thousand, forty-one".