120406918009 has 27 divisors (see below), whose sum is σ = 147881716047. Its totient is φ = 97736563008.

The previous prime is 120406917989. The next prime is 120406918019. The reversal of 120406918009 is 900819604021.

The square root of 120406918009 is 346997.

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., 57886916409 + 62520001600 = 240597^2 + 250040^2 .

It is not a de Polignac number, because 120406918009 - 2⁷ = 120406917881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120406918019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46149297 + ... + 46151905.

Almost surely, 2^120406918009 is an apocalyptic number.

120406918009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

120406918009 is the 346997-th square number.

120406918009 is the 173499-th centered octagonal number.

It is an amenable number.

120406918009 is a deficient number, since it is larger than the sum of its proper divisors (27474798038).

120406918009 is an frugal number, since it uses more digits than its factorization.

120406918009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The spelling of 120406918009 in words is "one hundred twenty billion, four hundred six million, nine hundred eighteen thousand, nine".