12121122044031 has 128 divisors (see below), whose sum is σ = 22112238919680. Its totient is φ = 5702134233600.

The previous prime is 12121122044027. The next prime is 12121122044077. The reversal of 12121122044031 is 13044022112121.

It is not a de Polignac number, because 12121122044031 - 2² = 12121122044027 is a prime.

It is a super-2 number, since 2×12121122044031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12121122043992 and 12121122044010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121122043031) 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 127 ways as a sum of consecutive naturals, for example, 86924241 + ... + 87063573.

It is an arithmetic number, because the mean of its divisors is an integer number (172751866560).

Almost surely, 2^{12121122044031} is an apocalyptic number.

12121122044031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12121122044031 is a deficient number, since it is larger than the sum of its proper divisors (9991116875649).

12121122044031 is a wasteful number, since it uses less digits than its factorization.

12121122044031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139917.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12121122044031 its reverse (13044022112121), we get a palindrome (25165144156152).

The spelling of 12121122044031 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty-two million, forty-four thousand, thirty-one".