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122022222181 is a prime number
BaseRepresentation
bin111000110100100010…
…1110101100101100101
3102122221221100010211021
41301221011311211211
53444400142102211
6132020051411141
711546552526616
oct1615105654545
9378857303737
10122022222181
11478273aa622
121b794bb3ab1
13b678142442
145c97b47c0d
1532927a7771
hex1c69175965

122022222181 has 2 divisors, whose sum is σ = 122022222182. Its totient is φ = 122022222180.

The previous prime is 122022222167. The next prime is 122022222191. The reversal of 122022222181 is 181222220221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101787159681 + 20235062500 = 319041^2 + 142250^2 .

It is a cyclic number.

It is not a de Polignac number, because 122022222181 - 215 = 122022189413 is a prime.

It is a super-2 number, since 2×1220222221812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122022222191) 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, 61011111090 + 61011111091.

It is an arithmetic number, because the mean of its divisors is an integer number (61011111091).

Almost surely, 2122022222181 is an apocalyptic number.

It is an amenable number.

122022222181 is a deficient number, since it is larger than the sum of its proper divisors (1).

122022222181 is an equidigital number, since it uses as much as digits as its factorization.

122022222181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 25.

The spelling of 122022222181 in words is "one hundred twenty-two billion, twenty-two million, two hundred twenty-two thousand, one hundred eighty-one".