120886080 has 112 divisors (see below), whose sum is σ = 438668160. Its totient is φ = 27629568.

The previous prime is 120886063. The next prime is 120886121. The reversal of 120886080 is 80688021.

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

It is a super-2 number, since 2×120886080² = 29226888675532800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2275 + ... + 15714.

It is an arithmetic number, because the mean of its divisors is an integer number (3916680).

Almost surely, 2^120886080 is an apocalyptic number.

120886080 is a gapful number since it is divisible by the number (10) 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 120886080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219334080).

120886080 is an abundant number, since it is smaller than the sum of its proper divisors (317782080).

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

120886080 is a wasteful number, since it uses less digits than its factorization.

120886080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18016 (or 18006 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 120886080 is about 10994.8205988092. The cubic root of 120886080 is about 494.4534729189.

The spelling of 120886080 in words is "one hundred twenty million, eight hundred eighty-six thousand, eighty".