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122412331 is a prime number
BaseRepresentation
bin1110100101111…
…01110100101011
322112100012011001
413102331310223
5222314143311
620051415431
73014326156
oct722756453
9275305131
10122412331
116310a218
1234bb4577
131c48cc42
1412386c9d
15ab304c1
hex74bdd2b

122412331 has 2 divisors, whose sum is σ = 122412332. Its totient is φ = 122412330.

The previous prime is 122412319. The next prime is 122412337. The reversal of 122412331 is 133214221.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122412331 - 27 = 122412203 is a prime.

It is a super-4 number, since 4×1224123314 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 122412299 and 122412308.

It is not a weakly prime, because it can be changed into another prime (122412337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61206165 + 61206166.

It is an arithmetic number, because the mean of its divisors is an integer number (61206166).

Almost surely, 2122412331 is an apocalyptic number.

122412331 is a deficient number, since it is larger than the sum of its proper divisors (1).

122412331 is an equidigital number, since it uses as much as digits as its factorization.

122412331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 19.

The square root of 122412331 is about 11064.0106200238. The cubic root of 122412331 is about 496.5256889087.

Adding to 122412331 its reverse (133214221), we get a palindrome (255626552).

The spelling of 122412331 in words is "one hundred twenty-two million, four hundred twelve thousand, three hundred thirty-one".