12111222211121 has 32 divisors (see below), whose sum is σ = 13542321754368. Its totient is φ = 10739097123840.

The previous prime is 12111222211091. The next prime is 12111222211141.

It is a happy number.

12111222211121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12111222211121 - 2⁴² = 7713175700017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12111222211093 and 12111222211102.

It is not an unprimeable number, because it can be changed into a prime (12111222211141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28723595 + ... + 29142191.

It is an arithmetic number, because the mean of its divisors is an integer number (423197554824).

Almost surely, 2^{12111222211121} is an apocalyptic number.

12111222211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12111222211121 is a deficient number, since it is larger than the sum of its proper divisors (1431099543247).

12111222211121 is a wasteful number, since it uses less digits than its factorization.

12111222211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419081.

The product of its digits is 64, while the sum is 20.

It can be divided in two parts, 1211122 and 2211121, that added together give a palindrome (3422243).

The spelling of 12111222211121 in words is "twelve trillion, one hundred eleven billion, two hundred twenty-two million, two hundred eleven thousand, one hundred twenty-one".