121844230560000 has 3600 divisors, whose sum is σ = 545174908185600. Its totient is φ = 26730528768000.

The previous prime is 121844230559977. The next prime is 121844230560023. The reversal of 121844230560000 is 65032448121.

It is a happy number.

121844230560000 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 4 + 42 + 3 + 0 + 5 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121844230559977) and next prime (121844230560023).

It is a tau number, because it is divible by the number of its divisors (3600).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 54419038881 + ... + 54419041119.

It is an arithmetic number, because the mean of its divisors is an integer number (151437474496).

Almost surely, 2^{121844230560000} is an apocalyptic number.

121844230560000 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 121844230560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272587454092800).

121844230560000 is an abundant number, since it is smaller than the sum of its proper divisors (423330677625600).

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

121844230560000 is a wasteful number, since it uses less digits than its factorization.

121844230560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 121844230560000 in words is "one hundred twenty-one trillion, eight hundred forty-four billion, two hundred thirty million, five hundred sixty thousand".