121314341215320 has 256 divisors, whose sum is σ = 401266889971200. Its totient is φ = 29096403517440.

The previous prime is 121314341215289. The next prime is 121314341215321. The reversal of 121314341215320 is 23512143413121.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121314341215321) 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, 96204819 + ... + 97457661.

It is an arithmetic number, because the mean of its divisors is an integer number (1567448788950).

Almost surely, 2^{121314341215320} is an apocalyptic number.

121314341215320 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 121314341215320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200633444985600).

121314341215320 is an abundant number, since it is smaller than the sum of its proper divisors (279952548755880).

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

121314341215320 is a wasteful number, since it uses less digits than its factorization.

121314341215320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253650 (or 1253646 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 121314341215320 its reverse (23512143413121), we get a palindrome (144826484628441).

The spelling of 121314341215320 in words is "one hundred twenty-one trillion, three hundred fourteen billion, three hundred forty-one million, two hundred fifteen thousand, three hundred twenty".