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122340222181 is a prime number
BaseRepresentation
bin111000111110000001…
…0111010010011100101
3102200210002201012211001
41301330002322103211
54001023044102211
6132111411313301
711560463505412
oct1617402722345
9380702635731
10122340222181
114797a958741
121b8635ab831
13b6c8ca3218
145cc8085109
1532b066eac1
hex1c7c0ba4e5

122340222181 has 2 divisors, whose sum is σ = 122340222182. Its totient is φ = 122340222180.

The previous prime is 122340222119. The next prime is 122340222209. The reversal of 122340222181 is 181222043221.

It is an a-pointer prime, because the next prime (122340222209) can be obtained adding 122340222181 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93554009956 + 28786212225 = 305866^2 + 169665^2 .

It is an emirp because it is prime and its reverse (181222043221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122340222181 - 29 = 122340221669 is a prime.

It is a super-2 number, since 2×1223402221812 (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 (122340222281) 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, 61170111090 + 61170111091.

It is an arithmetic number, because the mean of its divisors is an integer number (61170111091).

Almost surely, 2122340222181 is an apocalyptic number.

It is an amenable number.

122340222181 is a deficient number, since it is larger than the sum of its proper divisors (1).

122340222181 is an equidigital number, since it uses as much as digits as its factorization.

122340222181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 122340222181 in words is "one hundred twenty-two billion, three hundred forty million, two hundred twenty-two thousand, one hundred eighty-one".