1211344431121 has 12 divisors (see below), whose sum is σ = 1401555542800. Its totient is φ = 1043263144440.

The previous prime is 1211344431113. The next prime is 1211344431133.

1211344431121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1211344431121 - 2³ = 1211344431113 is a prime.

It is a super-2 number, since 2×1211344431121² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1211344431121.

It is not an unprimeable number, because it can be changed into a prime (1211344431161) 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 11 ways as a sum of consecutive naturals, for example, 263447991 + ... + 263452588.

Almost surely, 2^{1211344431121} is an apocalyptic number.

1211344431121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1211344431121 is a deficient number, since it is larger than the sum of its proper divisors (190211111679).

1211344431121 is a wasteful number, since it uses less digits than its factorization.

1211344431121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526900620 (or 526900609 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The spelling of 1211344431121 in words is "one trillion, two hundred eleven billion, three hundred forty-four million, four hundred thirty-one thousand, one hundred twenty-one".