121164439121 has 6 divisors (see below), whose sum is σ = 133180747266. Its totient is φ = 110149490000.

The previous prime is 121164439111. The next prime is 121164439147. The reversal of 121164439121 is 121934461121.

It can be written as a sum of positive squares in only one way, i.e., 106051179025 + 15113260096 = 325655^2 + 122936^2 .

It is not a de Polignac number, because 121164439121 - 2¹⁰ = 121164438097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121164439111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500679380 + ... + 500679621.

It is an arithmetic number, because the mean of its divisors is an integer number (22196791211).

Almost surely, 2^121164439121 is an apocalyptic number.

121164439121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121164439121 is a deficient number, since it is larger than the sum of its proper divisors (12016308145).

121164439121 is a wasteful number, since it uses less digits than its factorization.

121164439121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001359023 (or 1001359012 counting only the distinct ones).

The product of its digits is 10368, while the sum is 35.

The spelling of 121164439121 in words is "one hundred twenty-one billion, one hundred sixty-four million, four hundred thirty-nine thousand, one hundred twenty-one".