120839013582400 has 63 divisors (see below), whose sum is σ = 297340579754659. Its totient is φ = 48335429550080.

The previous prime is 120839013582389. The next prime is 120839013582409. The reversal of 120839013582400 is 4285310938021.

The square root of 120839013582400 is 10992680.

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

It can be written as a sum of positive squares in 4 ways, for example, as 45995198464576 + 74843815117824 = 6781976^2 + 8651232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120839013582409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 439569792 + ... + 439844608.

Almost surely, 2^{120839013582400} is an apocalyptic number.

120839013582400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120839013582400 is the 10992680-th square number.

It is an amenable number.

120839013582400 is an abundant number, since it is smaller than the sum of its proper divisors (176501566172259).

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

120839013582400 is an frugal number, since it uses more digits than its factorization.

120839013582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549656 (or 274824 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 120839013582400 in words is "one hundred twenty trillion, eight hundred thirty-nine billion, thirteen million, five hundred eighty-two thousand, four hundred".