121141110304 has 96 divisors (see below), whose sum is σ = 247382553600. Its totient is φ = 58358676480.

The previous prime is 121141110287. The next prime is 121141110323. The reversal of 121141110304 is 403011141121.

It is a super-3 number, since 3×121141110304³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46218114 + ... + 46220734.

It is an arithmetic number, because the mean of its divisors is an integer number (2576901600).

Almost surely, 2^121141110304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121141110304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123691276800).

121141110304 is an abundant number, since it is smaller than the sum of its proper divisors (126241443296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121141110304 is a wasteful number, since it uses less digits than its factorization.

121141110304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 121141110304 its reverse (403011141121), we get a palindrome (524152251425).

The spelling of 121141110304 in words is "one hundred twenty-one billion, one hundred forty-one million, one hundred ten thousand, three hundred four".