121304316224 has 448 divisors, whose sum is σ = 326628556800. Its totient is φ = 43350515712.

The previous prime is 121304316191. The next prime is 121304316233. The reversal of 121304316224 is 422613403121.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 330529289 + ... + 330529655.

It is an arithmetic number, because the mean of its divisors is an integer number (729081600).

Almost surely, 2^121304316224 is an apocalyptic number.

121304316224 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 121304316224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163314278400).

121304316224 is an abundant number, since it is smaller than the sum of its proper divisors (205324240576).

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

121304316224 is a wasteful number, since it uses less digits than its factorization.

121304316224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 121304316224 its reverse (422613403121), we get a palindrome (543917719345).

The spelling of 121304316224 in words is "one hundred twenty-one billion, three hundred four million, three hundred sixteen thousand, two hundred twenty-four".