120727152200 has 108 divisors (see below), whose sum is σ = 285205700745. Its totient is φ = 47526273600.

The previous prime is 120727152197. The next prime is 120727152229. The reversal of 120727152200 is 2251727021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 118312609156 + 2414543044 = 343966^2 + 49138^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=245690.

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, 388190045 + ... + 388190355.

Almost surely, 2^120727152200 is an apocalyptic number.

120727152200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120727152200

120727152200 is an abundant number, since it is smaller than the sum of its proper divisors (164478548545).

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

120727152200 is an frugal number, since it uses more digits than its factorization.

120727152200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

Adding to 120727152200 its reverse (2251727021), we get a palindrome (122978879221).

The spelling of 120727152200 in words is "one hundred twenty billion, seven hundred twenty-seven million, one hundred fifty-two thousand, two hundred".