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122121332231 is a prime number
BaseRepresentation
bin111000110111011111…
…1111010011000000111
3102200012211211110020212
41301232333322120013
54000101030112411
6132033551550035
711552165124323
oct1615677723007
9380184743225
10122121332231
1147878343458
121b80222b31b
13b692833b42
145ca6d86983
15329b33368b
hex1c6effa607

122121332231 has 2 divisors, whose sum is σ = 122121332232. Its totient is φ = 122121332230.

The previous prime is 122121332191. The next prime is 122121332237. The reversal of 122121332231 is 132233121221.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122121332231 - 218 = 122121070087 is a prime.

It is a super-2 number, since 2×1221213322312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122121332197 and 122121332206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122121332237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060666115 + 61060666116.

It is an arithmetic number, because the mean of its divisors is an integer number (61060666116).

Almost surely, 2122121332231 is an apocalyptic number.

122121332231 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121332231 is an equidigital number, since it uses as much as digits as its factorization.

122121332231 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 23.

Adding to 122121332231 its reverse (132233121221), we get a palindrome (254354453452).

The spelling of 122121332231 in words is "one hundred twenty-two billion, one hundred twenty-one million, three hundred thirty-two thousand, two hundred thirty-one".