121806584064 has 243 divisors, whose sum is σ = 386612894577. Its totient is φ = 36855244800.

The previous prime is 121806584059. The next prime is 121806584069. The reversal of 121806584064 is 460485608121.

It is a happy number.

The square root of 121806584064 is 349008.

It is a perfect power (a square), and thus also a powerful number.

121806584064 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 0 + 6 + 584 + 0 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (121806584059) and next prime (121806584069).

It can be written as a sum of positive squares in only one way, i.e., 96716024064 + 25090560000 = 310992^2 + 158400^2 .

It is not an unprimeable number, because it can be changed into a prime (121806584069) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 184275894 + ... + 184276554.

Almost surely, 2^121806584064 is an apocalyptic number.

121806584064 is the 349008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121806584064

121806584064 is an abundant number, since it is smaller than the sum of its proper divisors (264806310513).

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

121806584064 is an frugal number, since it uses more digits than its factorization.

121806584064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 121806584064 in words is "one hundred twenty-one billion, eight hundred six million, five hundred eighty-four thousand, sixty-four".