121805319138048 has 864 divisors, whose sum is σ = 451510070054400. Its totient is φ = 32105202425856.

The previous prime is 121805319138043. The next prime is 121805319138067. The reversal of 121805319138048 is 840831913508121.

121805319138048 is a `hidden beast` number, since 1 + 2 + 18 + 0 + 531 + 9 + 13 + 80 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 121805319137985 and 121805319138003.

It is not an unprimeable number, because it can be changed into a prime (121805319138043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8273124415 + ... + 8273139137.

It is an arithmetic number, because the mean of its divisors is an integer number (522581099600).

Almost surely, 2^{121805319138048} is an apocalyptic number.

121805319138048 is a gapful number since it is divisible by the number (18) 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 121805319138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225755035027200).

121805319138048 is an abundant number, since it is smaller than the sum of its proper divisors (329704750916352).

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

121805319138048 is a wasteful number, since it uses less digits than its factorization.

121805319138048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16654 (or 16627 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 121805319138048 in words is "one hundred twenty-one trillion, eight hundred five billion, three hundred nineteen million, one hundred thirty-eight thousand, forty-eight".