12124411442121 has 128 divisors (see below), whose sum is σ = 18646436229120. Its totient is φ = 6941915136000.

The previous prime is 12124411442107. The next prime is 12124411442123.

It is a happy number.

12124411442121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12124411442121 - 2⁷ = 12124411441993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12124411442123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4199656140 + ... + 4199659026.

It is an arithmetic number, because the mean of its divisors is an integer number (145675283040).

Almost surely, 2^{12124411442121} is an apocalyptic number.

12124411442121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12124411442121 is a deficient number, since it is larger than the sum of its proper divisors (6522024786999).

12124411442121 is a wasteful number, since it uses less digits than its factorization.

12124411442121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695.

The product of its digits is 4096, while the sum is 30.

It can be divided in two parts, 1212441 and 1442121, that added together give a palindrome (2654562).

The spelling of 12124411442121 in words is "twelve trillion, one hundred twenty-four billion, four hundred eleven million, four hundred forty-two thousand, one hundred twenty-one".