120513122500 has 135 divisors (see below), whose sum is σ = 270670399153. Its totient is φ = 46934680000.

The previous prime is 120513122497. The next prime is 120513122539. The reversal of 120513122500 is 5221315021.

The square root of 120513122500 is 347150.

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

120513122500 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 7 ways, for example, as 66870856836 + 53642265664 = 258594^2 + 231608^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 919947435 + ... + 919947565.

Almost surely, 2^120513122500 is an apocalyptic number.

120513122500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120513122500 is the 347150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120513122500

120513122500 is an abundant number, since it is smaller than the sum of its proper divisors (150157276653).

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

120513122500 is an frugal number, since it uses more digits than its factorization.

120513122500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 120513122500 its reverse (5221315021), we get a palindrome (125734437521).

The spelling of 120513122500 in words is "one hundred twenty billion, five hundred thirteen million, one hundred twenty-two thousand, five hundred".