1257120001 has 2 divisors, whose sum is σ = 1257120002. Its totient is φ = 1257120000.

The previous prime is 1257119989. The next prime is 1257120037. The reversal of 1257120001 is 1000217521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 776458225 + 480661776 = 27865^2 + 21924^2 .

It is a cyclic number.

It is not a de Polignac number, because 1257120001 - 2⁷ = 1257119873 is a prime.

It is not a weakly prime, because it can be changed into another prime (1257120061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 628560000 + 628560001.

It is an arithmetic number, because the mean of its divisors is an integer number (628560001).

Almost surely, 2^1257120001 is an apocalyptic number.

It is an amenable number.

1257120001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1257120001 is an equidigital number, since it uses as much as digits as its factorization.

1257120001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 1257120001 is about 35455.8881005680. Note that the first 3 decimals coincide. The cubic root of 1257120001 is about 1079.2587509112.

Adding to 1257120001 its reverse (1000217521), we get a palindrome (2257337522).

The spelling of 1257120001 in words is "one billion, two hundred fifty-seven million, one hundred twenty thousand, one".