120027712 has 112 divisors (see below), whose sum is σ = 292608000. Its totient is φ = 47706624.

The previous prime is 120027709. The next prime is 120027727. The reversal of 120027712 is 217720021.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502089 + ... + 502327.

Almost surely, 2^120027712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120027712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146304000).

120027712 is an abundant number, since it is smaller than the sum of its proper divisors (172580288).

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

120027712 is a wasteful number, since it uses less digits than its factorization.

120027712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 120027712 is about 10955.7159510458. The cubic root of 120027712 is about 493.2803806487.

Adding to 120027712 its reverse (217720021), we get a palindrome (337747733).

The spelling of 120027712 in words is "one hundred twenty million, twenty-seven thousand, seven hundred twelve".