1256441121 has 24 divisors (see below), whose sum is σ = 1956577896. Its totient is φ = 772358400.

The previous prime is 1256441119. The next prime is 1256441189. The reversal of 1256441121 is 1211446521.

1256441121 is a `hidden beast` number, since 1 + 2 + 5 + 644 + 1 + 12 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 731025 + 1255710096 = 855^2 + 35436^2 .

It is not a de Polignac number, because 1256441121 - 2¹ = 1256441119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1256441621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113221 + ... + 123821.

It is an arithmetic number, because the mean of its divisors is an integer number (81524079).

Almost surely, 2^1256441121 is an apocalyptic number.

It is an amenable number.

1256441121 is a deficient number, since it is larger than the sum of its proper divisors (700136775).

1256441121 is a wasteful number, since it uses less digits than its factorization.

1256441121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11633 (or 11630 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 1256441121 is about 35446.3132215468. The cubic root of 1256441121 is about 1079.0644392809.

Adding to 1256441121 its reverse (1211446521), we get a palindrome (2467887642).

The spelling of 1256441121 in words is "one billion, two hundred fifty-six million, four hundred forty-one thousand, one hundred twenty-one".