121884774400 has 117 divisors (see below), whose sum is σ = 302514623533. Its totient is φ = 48709222400.

The previous prime is 121884774359. The next prime is 121884774481. The reversal of 121884774400 is 4477488121.

It is a happy number.

The square root of 121884774400 is 349120.

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

121884774400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 43878518784 + 78006255616 = 209472^2 + 279296^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 111717855 + ... + 111718945.

Almost surely, 2^121884774400 is an apocalyptic number.

121884774400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121884774400 is the 349120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121884774400

121884774400 is an abundant number, since it is smaller than the sum of its proper divisors (180629849133).

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

121884774400 is an frugal number, since it uses more digits than its factorization.

121884774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 46.

The spelling of 121884774400 in words is "one hundred twenty-one billion, eight hundred eighty-four million, seven hundred seventy-four thousand, four hundred".