121624426121 has 12 divisors (see below), whose sum is σ = 138700761360. Its totient is φ = 105760365480.

The previous prime is 121624426067. The next prime is 121624426123.

121624426121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121624426121 - 2²⁶ = 121557317257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121624426123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10444811 + ... + 10456448.

It is an arithmetic number, because the mean of its divisors is an integer number (11558396780).

Almost surely, 2^121624426121 is an apocalyptic number.

121624426121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121624426121 is a deficient number, since it is larger than the sum of its proper divisors (17076335239).

121624426121 is a wasteful number, since it uses less digits than its factorization.

121624426121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20901316 (or 20901293 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

It can be divided in two parts, 121624 and 426121, that added together give a palindrome (547745).

The spelling of 121624426121 in words is "one hundred twenty-one billion, six hundred twenty-four million, four hundred twenty-six thousand, one hundred twenty-one".