11121441200431 has 16 divisors (see below), whose sum is σ = 11804311388160. Its totient is φ = 10448399394720.

The previous prime is 11121441200417. The next prime is 11121441200437. The reversal of 11121441200431 is 13400214412111.

It is a cyclic number.

It is not a de Polignac number, because 11121441200431 - 2¹⁷ = 11121441069359 is a prime.

It is a super-2 number, since 2×11121441200431² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11121441200396 and 11121441200405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121441200437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4281321 + ... + 6369661.

It is an arithmetic number, because the mean of its divisors is an integer number (737769461760).

Almost surely, 2^{11121441200431} is an apocalyptic number.

11121441200431 is a deficient number, since it is larger than the sum of its proper divisors (682870187729).

11121441200431 is a wasteful number, since it uses less digits than its factorization.

11121441200431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090694.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 11121441200431 its reverse (13400214412111), we get a palindrome (24521655612542).

The spelling of 11121441200431 in words is "eleven trillion, one hundred twenty-one billion, four hundred forty-one million, two hundred thousand, four hundred thirty-one".