121345608384 has 1344 divisors, whose sum is σ = 501699824640. Its totient is φ = 27769651200.

The previous prime is 121345608379. The next prime is 121345608407. The reversal of 121345608384 is 483806543121.

121345608384 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 4 + 5 + 608 + 38 + 4 = 666.

121345608384 is digitally balanced in base 7, 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 (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1662268572 + ... + 1662268644.

It is an arithmetic number, because the mean of its divisors is an integer number (373288560).

Almost surely, 2^121345608384 is an apocalyptic number.

121345608384 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 121345608384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250849912320).

121345608384 is an abundant number, since it is smaller than the sum of its proper divisors (380354216256).

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

121345608384 is a wasteful number, since it uses less digits than its factorization.

121345608384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 121345608384 in words is "one hundred twenty-one billion, three hundred forty-five million, six hundred eight thousand, three hundred eighty-four".