121193768304000 has 768 divisors, whose sum is σ = 508981797941760. Its totient is φ = 27057203712000.

The previous prime is 121193768303947. The next prime is 121193768304073. The reversal of 121193768304000 is 403867391121.

121193768304000 is a `hidden beast` number, since 1 + 2 + 11 + 93 + 76 + 83 + 0 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41945955 + ... + 44742045.

It is an arithmetic number, because the mean of its divisors is an integer number (662736716070).

Almost surely, 2^{121193768304000} is an apocalyptic number.

121193768304000 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 121193768304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254490898970880).

121193768304000 is an abundant number, since it is smaller than the sum of its proper divisors (387788029637760).

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

121193768304000 is a wasteful number, since it uses less digits than its factorization.

121193768304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796176 (or 2796151 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 121193768304000 in words is "one hundred twenty-one trillion, one hundred ninety-three billion, seven hundred sixty-eight million, three hundred four thousand".