121883328000 has 1920 divisors, whose sum is σ = 555008762880. Its totient is φ = 25082265600.

The previous prime is 121883327953. The next prime is 121883328001. The reversal of 121883328000 is 823388121.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121883328001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2834495979 + ... + 2834496021.

It is an arithmetic number, because the mean of its divisors is an integer number (289067064).

Almost surely, 2^121883328000 is an apocalyptic number.

121883328000 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 121883328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277504381440).

121883328000 is an abundant number, since it is smaller than the sum of its proper divisors (433125434880).

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

121883328000 is a wasteful number, since it uses less digits than its factorization.

121883328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 121883328000 in words is "one hundred twenty-one billion, eight hundred eighty-three million, three hundred twenty-eight thousand".