121405123415120 has 80 divisors (see below), whose sum is σ = 290003574424080. Its totient is φ = 47231987023872.

The previous prime is 121405123415113. The next prime is 121405123415153. The reversal of 121405123415120 is 21514321504121.

It can be written as a sum of positive squares in 8 ways, for example, as 528116144656 + 120877007270464 = 726716^2 + 10994408^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×121405123415120³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 332954 + ... + 15585926.

It is an arithmetic number, because the mean of its divisors is an integer number (3625044680301).

Almost surely, 2^{121405123415120} is an apocalyptic number.

121405123415120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121405123415120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145001787212040).

121405123415120 is an abundant number, since it is smaller than the sum of its proper divisors (168598451008960).

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

121405123415120 is a wasteful number, since it uses less digits than its factorization.

121405123415120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15255712 (or 15255706 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

Adding to 121405123415120 its reverse (21514321504121), we get a palindrome (142919444919241).

The spelling of 121405123415120 in words is "one hundred twenty-one trillion, four hundred five billion, one hundred twenty-three million, four hundred fifteen thousand, one hundred twenty".