120714553600 has 243 divisors, whose sum is σ = 308956194939. Its totient is φ = 46695936000.

The previous prime is 120714553549. The next prime is 120714553601. The reversal of 120714553600 is 6355417021.

The square root of 120714553600 is 347440.

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 22289295616 + 98425257984 = 149296^2 + 313728^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120714553601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1195193550 + ... + 1195193650.

Almost surely, 2^120714553600 is an apocalyptic number.

120714553600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120714553600 is the 347440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120714553600

120714553600 is an abundant number, since it is smaller than the sum of its proper divisors (188241641339).

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

120714553600 is an frugal number, since it uses more digits than its factorization.

120714553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 120714553600 in words is "one hundred twenty billion, seven hundred fourteen million, five hundred fifty-three thousand, six hundred".