121216803984384 has 352 divisors, whose sum is σ = 339108527493120. Its totient is φ = 38422782148608.

The previous prime is 121216803984349. The next prime is 121216803984403. The reversal of 121216803984384 is 483489308612121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39368885757 + ... + 39368888835.

It is an arithmetic number, because the mean of its divisors is an integer number (963376498560).

Almost surely, 2^{121216803984384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121216803984384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169554263746560).

121216803984384 is an abundant number, since it is smaller than the sum of its proper divisors (217891723508736).

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

121216803984384 is a wasteful number, since it uses less digits than its factorization.

121216803984384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6205 (or 6187 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 121216803984384 in words is "one hundred twenty-one trillion, two hundred sixteen billion, eight hundred three million, nine hundred eighty-four thousand, three hundred eighty-four".