120834616550400 has 297 divisors, whose sum is σ = 432663985731523. Its totient is φ = 32221157376000.

The previous prime is 120834616550357. The next prime is 120834616550449. The reversal of 120834616550400 is 4055616438021.

The square root of 120834616550400 is 10992480.

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

120834616550400 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 3 + 46 + 16 + 550 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28925121291264 + 91909495259136 = 5378208^2 + 9586944^2 .

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

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 5276378950 + ... + 5276401850.

Almost surely, 2^{120834616550400} is an apocalyptic number.

120834616550400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120834616550400 is the 10992480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120834616550400

120834616550400 is an abundant number, since it is smaller than the sum of its proper divisors (311829369181123).

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

120834616550400 is an frugal number, since it uses more digits than its factorization.

120834616550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45838 (or 22911 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 120834616550400 in words is "one hundred twenty trillion, eight hundred thirty-four billion, six hundred sixteen million, five hundred fifty thousand, four hundred".