121860096000 has 512 divisors, whose sum is σ = 416135715840. Its totient is φ = 31653888000.

The previous prime is 121860095999. The next prime is 121860096041. The reversal of 121860096000 is 690068121.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577535895 + ... + 577536105.

It is an arithmetic number, because the mean of its divisors is an integer number (812765070).

Almost surely, 2^121860096000 is an apocalyptic number.

121860096000 is a gapful number since it is divisible by the number (10) 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 121860096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208067857920).

121860096000 is an abundant number, since it is smaller than the sum of its proper divisors (294275619840).

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

121860096000 is an frugal number, since it uses more digits than its factorization.

121860096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 121860096000 in words is "one hundred twenty-one billion, eight hundred sixty million, ninety-six thousand".