120230880 has 192 divisors, whose sum is σ = 472324608. Its totient is φ = 24975360.

The previous prime is 120230857. The next prime is 120230911. The reversal of 120230880 is 88032021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120230880.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 35334 + ... + 38586.

It is an arithmetic number, because the mean of its divisors is an integer number (2460024).

Almost surely, 2^120230880 is an apocalyptic number.

120230880 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 120230880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236162304).

120230880 is an abundant number, since it is smaller than the sum of its proper divisors (352093728).

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

120230880 is a wasteful number, since it uses less digits than its factorization.

120230880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 120230880 is about 10964.9842681146. The cubic root of 120230880 is about 493.5585450100.

The spelling of 120230880 in words is "one hundred twenty million, two hundred thirty thousand, eight hundred eighty".