1281672110241 has 24 divisors (see below), whose sum is σ = 1960833203784. Its totient is φ = 803928453120.

The previous prime is 1281672110221. The next prime is 1281672110281. The reversal of 1281672110241 is 1420112761821.

It can be written as a sum of positive squares in 4 ways, for example, as 4763070225 + 1276909040016 = 69015^2 + 1130004^2 .

It is not a de Polignac number, because 1281672110241 - 2⁵ = 1281672110209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1281672110196 and 1281672110205.

It is not an unprimeable number, because it can be changed into a prime (1281672110221) 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 23 ways as a sum of consecutive naturals, for example, 864516 + ... + 1819541.

It is an arithmetic number, because the mean of its divisors is an integer number (81701383491).

Almost surely, 2^{1281672110241} is an apocalyptic number.

It is an amenable number.

1281672110241 is a deficient number, since it is larger than the sum of its proper divisors (679161093543).

1281672110241 is a wasteful number, since it uses less digits than its factorization.

1281672110241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687201 (or 2687198 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 1281672110241 in words is "one trillion, two hundred eighty-one billion, six hundred seventy-two million, one hundred ten thousand, two hundred forty-one".