1257241121 has 2 divisors, whose sum is σ = 1257241122. Its totient is φ = 1257241120.

The previous prime is 1257241109. The next prime is 1257241123. The reversal of 1257241121 is 1211427521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 687750625 + 569490496 = 26225^2 + 23864^2 .

It is an emirp because it is prime and its reverse (1211427521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1257241121 - 2⁶ = 1257241057 is a prime.

Together with 1257241123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1257241123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 628620560 + 628620561.

It is an arithmetic number, because the mean of its divisors is an integer number (628620561).

Almost surely, 2^1257241121 is an apocalyptic number.

It is an amenable number.

1257241121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1257241121 is an equidigital number, since it uses as much as digits as its factorization.

1257241121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1120, while the sum is 26.

The square root of 1257241121 is about 35457.5960973104. The cubic root of 1257241121 is about 1079.2934109866.

Adding to 1257241121 its reverse (1211427521), we get a palindrome (2468668642).

The spelling of 1257241121 in words is "one billion, two hundred fifty-seven million, two hundred forty-one thousand, one hundred twenty-one".