121752363414 has 128 divisors (see below), whose sum is σ = 286561566720. Its totient is φ = 34100985600.

The previous prime is 121752363377. The next prime is 121752363463. The reversal of 121752363414 is 414363257121.

121752363414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40327197 + ... + 40330215.

It is an arithmetic number, because the mean of its divisors is an integer number (2238762240).

Almost surely, 2^121752363414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121752363414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143280783360).

121752363414 is an abundant number, since it is smaller than the sum of its proper divisors (164809203306).

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

121752363414 is a wasteful number, since it uses less digits than its factorization.

121752363414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946.

The product of its digits is 120960, while the sum is 39.

The spelling of 121752363414 in words is "one hundred twenty-one billion, seven hundred fifty-two million, three hundred sixty-three thousand, four hundred fourteen".