120086208 has 126 divisors (see below), whose sum is σ = 378561092. Its totient is φ = 36368640.

The previous prime is 120086191. The next prime is 120086221. The reversal of 120086208 is 802680021.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68835 + ... + 70557.

Almost surely, 2^120086208 is an apocalyptic number.

120086208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120086208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189280546).

120086208 is an abundant number, since it is smaller than the sum of its proper divisors (258474884).

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

120086208 is a wasteful number, since it uses less digits than its factorization.

120086208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 120086208 is about 10958.3852825131. The cubic root of 120086208 is about 493.3605017097.

The spelling of 120086208 in words is "one hundred twenty million, eighty-six thousand, two hundred eight".