1005123440121 has 16 divisors (see below), whose sum is σ = 1345898503488. Its totient is φ = 667216051200.

The previous prime is 1005123440033. The next prime is 1005123440143. The reversal of 1005123440121 is 1210443215001.

It is not a de Polignac number, because 1005123440121 - 2¹³ = 1005123431929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005123440091 and 1005123440100.

It is not an unprimeable number, because it can be changed into a prime (1005123440021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5804961 + ... + 5975601.

It is an arithmetic number, because the mean of its divisors is an integer number (84118656468).

Almost surely, 2^{1005123440121} is an apocalyptic number.

It is an amenable number.

1005123440121 is a deficient number, since it is larger than the sum of its proper divisors (340775063367).

1005123440121 is a wasteful number, since it uses less digits than its factorization.

1005123440121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179032.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 1005123440121 its reverse (1210443215001), we get a palindrome (2215566655122).

The spelling of 1005123440121 in words is "one trillion, five billion, one hundred twenty-three million, four hundred forty thousand, one hundred twenty-one".