121404241234304 has 256 divisors, whose sum is σ = 290541631242240. Its totient is φ = 49456702310400.

The previous prime is 121404241234253. The next prime is 121404241234379. The reversal of 121404241234304 is 403432142404121.

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 31 ways as a sum of consecutive naturals, for example, 200023769 + ... + 200629799.

It is an arithmetic number, because the mean of its divisors is an integer number (1134928247040).

Almost surely, 2^{121404241234304} is an apocalyptic number.

121404241234304 is a gapful number since it is divisible by the number (14) 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 121404241234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145270815621120).

121404241234304 is an abundant number, since it is smaller than the sum of its proper divisors (169137390007936).

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

121404241234304 is an equidigital number, since it uses as much as digits as its factorization.

121404241234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606237 (or 606225 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 121404241234304 its reverse (403432142404121), we get a palindrome (524836383638425).

The spelling of 121404241234304 in words is "one hundred twenty-one trillion, four hundred four billion, two hundred forty-one million, two hundred thirty-four thousand, three hundred four".