121416512352 has 96 divisors (see below), whose sum is σ = 330088711680. Its totient is φ = 39031534080.

The previous prime is 121416512339. The next prime is 121416512363. The reversal of 121416512352 is 253215614121.

121416512352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2433577 + ... + 2482967.

It is an arithmetic number, because the mean of its divisors is an integer number (3438424080).

Almost surely, 2^121416512352 is an apocalyptic number.

121416512352 is a gapful number since it is divisible by the number (12) 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 121416512352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165044355840).

121416512352 is an abundant number, since it is smaller than the sum of its proper divisors (208672199328).

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

121416512352 is a wasteful number, since it uses less digits than its factorization.

121416512352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50316 (or 50308 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The spelling of 121416512352 in words is "one hundred twenty-one billion, four hundred sixteen million, five hundred twelve thousand, three hundred fifty-two".