120186329041 has 9 divisors (see below), whose sum is σ = 125647352859. Its totient is φ = 114953209536.

The previous prime is 120186329033. The next prime is 120186329047. The reversal of 120186329041 is 140923681021.

The square root of 120186329041 is 346679.

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

It can be written as a sum of positive squares in only one way, i.e., 57934083025 + 62252246016 = 240695^2 + 249504^2 .

It is not a de Polignac number, because 120186329041 - 2³ = 120186329033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120186329047) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7966081 + ... + 7981153.

Almost surely, 2^120186329041 is an apocalyptic number.

120186329041 is the 346679-th square number.

120186329041 is the 173340-th centered octagonal number.

It is an amenable number.

120186329041 is a deficient number, since it is larger than the sum of its proper divisors (5461023818).

120186329041 is an frugal number, since it uses more digits than its factorization.

120186329041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30192 (or 15096 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 120186329041 in words is "one hundred twenty billion, one hundred eighty-six million, three hundred twenty-nine thousand, forty-one".