4124123201257 has 2 divisors, whose sum is σ = 4124123201258. Its totient is φ = 4124123201256.

The previous prime is 4124123201221. The next prime is 4124123201267. The reversal of 4124123201257 is 7521023214214.

4124123201257 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3312185243481 + 811937957776 = 1819941^2 + 901076^2 .

It is a cyclic number.

It is not a de Polignac number, because 4124123201257 - 2¹⁹ = 4124122676969 is a prime.

It is not a weakly prime, because it can be changed into another prime (4124123201267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2062061600628 + 2062061600629.

It is an arithmetic number, because the mean of its divisors is an integer number (2062061600629).

Almost surely, 2^{4124123201257} is an apocalyptic number.

It is an amenable number.

4124123201257 is a deficient number, since it is larger than the sum of its proper divisors (1).

4124123201257 is an equidigital number, since it uses as much as digits as its factorization.

4124123201257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 4124123201257 in words is "four trillion, one hundred twenty-four billion, one hundred twenty-three million, two hundred one thousand, two hundred fifty-seven".