120005064 has 128 divisors (see below), whose sum is σ = 356208000. Its totient is φ = 37896336.

The previous prime is 120005021. The next prime is 120005071. The reversal of 120005064 is 460500021.

It is a happy number.

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 is an ABA number since it can be written as A⋅B^A, here for A=3, B=342.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6316047 + ... + 6316065.

It is an arithmetic number, because the mean of its divisors is an integer number (2782875).

Almost surely, 2^120005064 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 120005064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178104000).

120005064 is an abundant number, since it is smaller than the sum of its proper divisors (236202936).

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

120005064 is an frugal number, since it uses more digits than its factorization.

120005064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120005064 is about 10954.6822865841. The cubic root of 120005064 is about 493.2493530451.

Adding to 120005064 its reverse (460500021), we get a palindrome (580505085).

The spelling of 120005064 in words is "one hundred twenty million, five thousand, sixty-four".