1121012431121 has 16 divisors (see below), whose sum is σ = 1297743249600. Its totient is φ = 957018746880.

The previous prime is 1121012431093. The next prime is 1121012431159. The reversal of 1121012431121 is 1211342101211.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1121012431121 - 2⁶ = 1121012431057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1121012431093 and 1121012431102.

It is not an unprimeable number, because it can be changed into a prime (1121012431171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6591671 + ... + 6759596.

It is an arithmetic number, because the mean of its divisors is an integer number (81108953100).

Almost surely, 2^{1121012431121} is an apocalyptic number.

1121012431121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1121012431121 is a deficient number, since it is larger than the sum of its proper divisors (176730818479).

1121012431121 is a wasteful number, since it uses less digits than its factorization.

1121012431121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13351744.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 1121012431121 its reverse (1211342101211), we get a palindrome (2332354532332).

The spelling of 1121012431121 in words is "one trillion, one hundred twenty-one billion, twelve million, four hundred thirty-one thousand, one hundred twenty-one".