1248830835121 has 9 divisors (see below), whose sum is σ = 1283537738091. Its totient is φ = 1215038419992.

The previous prime is 1248830835089. The next prime is 1248830835127. The reversal of 1248830835121 is 1215380388421.

It is a happy number.

The square root of 1248830835121 is 1117511.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1117470981025 + 131359854096 = 1057105^2 + 362436^2 .

It is not a de Polignac number, because 1248830835121 - 2⁵ = 1248830835089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1248830835127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41332806 + ... + 41363008.

Almost surely, 2^{1248830835121} is an apocalyptic number.

1248830835121 is the 1117511-st square number.

1248830835121 is the 558756-th centered octagonal number.

It is an amenable number.

1248830835121 is a deficient number, since it is larger than the sum of its proper divisors (34706902970).

1248830835121 is an frugal number, since it uses more digits than its factorization.

1248830835121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60480 (or 30240 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The spelling of 1248830835121 in words is "one trillion, two hundred forty-eight billion, eight hundred thirty million, eight hundred thirty-five thousand, one hundred twenty-one".