120800160 has 288 divisors, whose sum is σ = 462309120. Its totient is φ = 29611008.

The previous prime is 120800137. The next prime is 120800221. The reversal of 120800160 is 61008021.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 505321 + ... + 505559.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 2^120800160 is an apocalyptic number.

120800160 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 120800160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

120800160 is an abundant number, since it is smaller than the sum of its proper divisors (341508960).

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

120800160 is a wasteful number, since it uses less digits than its factorization.

120800160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 120800160 is about 10990.9126099701. The cubic root of 120800160 is about 494.3363005876.

Adding to 120800160 its reverse (61008021), we get a palindrome (181808181).

The spelling of 120800160 in words is "one hundred twenty million, eight hundred thousand, one hundred sixty".