121319088800 has 576 divisors, whose sum is σ = 387075225600. Its totient is φ = 36055756800.

The previous prime is 121319088799. The next prime is 121319088811. The reversal of 121319088800 is 8880913121.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192264485 + ... + 192265115.

It is an arithmetic number, because the mean of its divisors is an integer number (672005600).

Almost surely, 2^121319088800 is an apocalyptic number.

121319088800 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 121319088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193537612800).

121319088800 is an abundant number, since it is smaller than the sum of its proper divisors (265756136800).

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

121319088800 is a wasteful number, since it uses less digits than its factorization.

121319088800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 41.

The spelling of 121319088800 in words is "one hundred twenty-one billion, three hundred nineteen million, eighty-eight thousand, eight hundred".