120480000 has 180 divisors, whose sum is σ = 402283728. Its totient is φ = 32000000.

The previous prime is 120479921. The next prime is 120480011. The reversal of 120480000 is 84021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 479875 + ... + 480125.

Almost surely, 2^120480000 is an apocalyptic number.

120480000 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 120480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201141864).

120480000 is an abundant number, since it is smaller than the sum of its proper divisors (281803728).

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

120480000 is an frugal number, since it uses more digits than its factorization.

120480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 120480000 is about 10976.3381872098. The cubic root of 120480000 is about 493.8991964873.

The spelling of 120480000 in words is "one hundred twenty million, four hundred eighty thousand".