121880592000 has 1024 divisors, whose sum is σ = 488816640000. Its totient is φ = 29735424000.

The previous prime is 121880591993. The next prime is 121880592037. The reversal of 121880592000 is 295088121.

121880592000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 254447761 + ... + 254448239.

It is an arithmetic number, because the mean of its divisors is an integer number (477360000).

Almost surely, 2^121880592000 is an apocalyptic number.

121880592000 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 121880592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244408320000).

121880592000 is an abundant number, since it is smaller than the sum of its proper divisors (366936048000).

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

121880592000 is a wasteful number, since it uses less digits than its factorization.

121880592000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 121880592000 in words is "one hundred twenty-one billion, eight hundred eighty million, five hundred ninety-two thousand".