121745184000 has 576 divisors, whose sum is σ = 455490846720. Its totient is φ = 28554240000.

The previous prime is 121745183993. The next prime is 121745184037. The reversal of 121745184000 is 481547121.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32734141 + ... + 32737859.

It is an arithmetic number, because the mean of its divisors is an integer number (790782720).

Almost surely, 2^121745184000 is an apocalyptic number.

121745184000 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 121745184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227745423360).

121745184000 is an abundant number, since it is smaller than the sum of its proper divisors (333745662720).

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

121745184000 is a wasteful number, since it uses less digits than its factorization.

121745184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3795 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The spelling of 121745184000 in words is "one hundred twenty-one billion, seven hundred forty-five million, one hundred eighty-four thousand".