120728451600 has 135 divisors (see below), whose sum is σ = 419033622189. Its totient is φ = 32188694400.

The previous prime is 120728451527. The next prime is 120728451607. The reversal of 120728451600 is 6154827021.

The square root of 120728451600 is 347460.

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

120728451600 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 2 + 8 + 45 + 1 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43462242576 + 77266209024 = 208476^2 + 277968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (120728451607) 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, 20844705 + ... + 20850495.

Almost surely, 2^120728451600 is an apocalyptic number.

120728451600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120728451600 is the 347460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120728451600

120728451600 is an abundant number, since it is smaller than the sum of its proper divisors (298305170589).

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

120728451600 is an frugal number, since it uses more digits than its factorization.

120728451600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11606 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Multiplying 120728451600 by its sum of digits (36), we get a square (4346224257600 = 2084760²).

120728451600 divided by its sum of digits (36) gives a square (3353568100 = 57910²).

It can be divided in two parts, 1207284 and 51600, that added together give a square (1258884 = 1122²).

The spelling of 120728451600 in words is "one hundred twenty billion, seven hundred twenty-eight million, four hundred fifty-one thousand, six hundred".