120256368400 has 135 divisors (see below), whose sum is σ = 336221609439. Its totient is φ = 41214109440.

The previous prime is 120256368383. The next prime is 120256368409. The reversal of 120256368400 is 4863652021.

The square root of 120256368400 is 346780.

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 2338302736 + 117918065664 = 48356^2 + 343392^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120256368400.

It is not an unprimeable number, because it can be changed into a prime (120256368409) 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 26 ways as a sum of consecutive naturals, for example, 48547962 + ... + 48550438.

Almost surely, 2^120256368400 is an apocalyptic number.

120256368400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120256368400 is the 346780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120256368400

120256368400 is an abundant number, since it is smaller than the sum of its proper divisors (215965241039).

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

120256368400 is an frugal number, since it uses more digits than its factorization.

120256368400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4986 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 120256368400 in words is "one hundred twenty billion, two hundred fifty-six million, three hundred sixty-eight thousand, four hundred".