1234334431121 has 48 divisors (see below), whose sum is σ = 1515693876480. Its totient is φ = 998194982400.

The previous prime is 1234334431093. The next prime is 1234334431171. The reversal of 1234334431121 is 1211344334321.

It is not a de Polignac number, because 1234334431121 - 2¹⁴ = 1234334414737 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1234334431171) 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 47 ways as a sum of consecutive naturals, for example, 16808135 + ... + 16881411.

It is an arithmetic number, because the mean of its divisors is an integer number (31576955760).

Almost surely, 2^{1234334431121} is an apocalyptic number.

1234334431121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1234334431121 is a deficient number, since it is larger than the sum of its proper divisors (281359445359).

1234334431121 is a wasteful number, since it uses less digits than its factorization.

1234334431121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73766 (or 73755 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

Adding to 1234334431121 its reverse (1211344334321), we get a palindrome (2445678765442).

It can be divided in two parts, 123433 and 4431121, that added together give a palindrome (4554554).

The spelling of 1234334431121 in words is "one trillion, two hundred thirty-four billion, three hundred thirty-four million, four hundred thirty-one thousand, one hundred twenty-one".