121133404331121 has 64 divisors (see below), whose sum is σ = 213031864700928. Its totient is φ = 59464721403648.

The previous prime is 121133404331119. The next prime is 121133404331143.

It is a happy number.

121133404331121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121133404331121 - 2¹ = 121133404331119 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121133404331171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 260468091 + ... + 260932736.

It is an arithmetic number, because the mean of its divisors is an integer number (3328622885952).

Almost surely, 2^{121133404331121} is an apocalyptic number.

It is an amenable number.

121133404331121 is a deficient number, since it is larger than the sum of its proper divisors (91898460369807).

121133404331121 is a wasteful number, since it uses less digits than its factorization.

121133404331121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521400910.

The product of its (nonzero) digits is 5184, while the sum is 30.

It can be divided in two parts, 12113340 and 4331121, that added together give a palindrome (16444461).

The spelling of 121133404331121 in words is "one hundred twenty-one trillion, one hundred thirty-three billion, four hundred four million, three hundred thirty-one thousand, one hundred twenty-one".