120282480 has 240 divisors, whose sum is σ = 442900224. Its totient is φ = 29122560.

The previous prime is 120282469. The next prime is 120282509. The reversal of 120282480 is 84282021.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 379282 + ... + 379598.

Almost surely, 2^120282480 is an apocalyptic number.

120282480 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 120282480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221450112).

120282480 is an abundant number, since it is smaller than the sum of its proper divisors (322617744).

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

120282480 is a wasteful number, since it uses less digits than its factorization.

120282480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 120282480 is about 10967.3369602652. The cubic root of 120282480 is about 493.6291424539.

The spelling of 120282480 in words is "one hundred twenty million, two hundred eighty-two thousand, four hundred eighty".