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126112417 is a prime number
BaseRepresentation
bin1111000010001…
…01001010100001
322210022011201021
413201011022201
5224241044132
620303005441
73060636454
oct741051241
9283264637
10126112417
1165207142
1236299881
1320187142
1412a6b49b
15b111997
hex78452a1

126112417 has 2 divisors, whose sum is σ = 126112418. Its totient is φ = 126112416.

The previous prime is 126112411. The next prime is 126112423. The reversal of 126112417 is 714211621.

It is a balanced prime because it is at equal distance from previous prime (126112411) and next prime (126112423).

It can be written as a sum of positive squares in only one way, i.e., 81703521 + 44408896 = 9039^2 + 6664^2 .

It is an emirp because it is prime and its reverse (714211621) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-126112417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 126112391 and 126112400.

It is not a weakly prime, because it can be changed into another prime (126112411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63056208 + 63056209.

It is an arithmetic number, because the mean of its divisors is an integer number (63056209).

Almost surely, 2126112417 is an apocalyptic number.

It is an amenable number.

126112417 is a deficient number, since it is larger than the sum of its proper divisors (1).

126112417 is an equidigital number, since it uses as much as digits as its factorization.

126112417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 672, while the sum is 25.

The square root of 126112417 is about 11229.9784950818. The cubic root of 126112417 is about 501.4788443929.

The spelling of 126112417 in words is "one hundred twenty-six million, one hundred twelve thousand, four hundred seventeen".