121122233313121 has 8 divisors (see below), whose sum is σ = 128247395333544. Its totient is φ = 113997107377920.

The previous prime is 121122233313113. The next prime is 121122233313127. The reversal of 121122233313121 is 121313332221121.

It can be written as a sum of positive squares in 4 ways, for example, as 39514298881600 + 81607934431521 = 6286040^2 + 9033711^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121122233313121 - 2³ = 121122233313113 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121122233313121.

It is not an unprimeable number, because it can be changed into a prime (121122233313127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1952470 + ... + 15686191.

It is an arithmetic number, because the mean of its divisors is an integer number (16030924416693).

Almost surely, 2^{121122233313121} is an apocalyptic number.

It is an amenable number.

121122233313121 is a deficient number, since it is larger than the sum of its proper divisors (7125162020423).

121122233313121 is a wasteful number, since it uses less digits than its factorization.

121122233313121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18042611.

The product of its digits is 2592, while the sum is 28.

Adding to 121122233313121 its reverse (121313332221121), we get a palindrome (242435565534242).

The spelling of 121122233313121 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two hundred thirty-three million, three hundred thirteen thousand, one hundred twenty-one".