12121130311311 has 16 divisors (see below), whose sum is σ = 18639746048000. Its totient is φ = 6862815587808.

The previous prime is 12121130311291. The next prime is 12121130311319. The reversal of 12121130311311 is 11311303112121.

It is not a de Polignac number, because 12121130311311 - 2¹⁴ = 12121130294927 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121130311319) 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, 2647688911 + ... + 2647693488.

It is an arithmetic number, because the mean of its divisors is an integer number (1164984128000).

Almost surely, 2^{12121130311311} is an apocalyptic number.

12121130311311 is a deficient number, since it is larger than the sum of its proper divisors (6518615736689).

12121130311311 is a wasteful number, since it uses less digits than its factorization.

12121130311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295382518.

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 12121130311311 its reverse (11311303112121), we get a palindrome (23432433423432).

The spelling of 12121130311311 in words is "twelve trillion, one hundred twenty-one billion, one hundred thirty million, three hundred eleven thousand, three hundred eleven".