12000480 has 96 divisors (see below), whose sum is σ = 39481344. Its totient is φ = 3058176.

The previous prime is 12000473. The next prime is 12000509. The reversal of 12000480 is 8400021.

12000480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10497 + ... + 11583.

It is an arithmetic number, because the mean of its divisors is an integer number (411264).

Almost surely, 2^12000480 is an apocalyptic number.

12000480 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 12000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19740672).

12000480 is an abundant number, since it is smaller than the sum of its proper divisors (27480864).

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

12000480 is a wasteful number, since it uses less digits than its factorization.

12000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1120 counting only the distinct ones).

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

The square root of 12000480 is about 3464.1708964773. The cubic root of 12000480 is about 228.9459010413.

It can be divided in two parts, 12000 and 480, that multiplied together give a square (5760000 = 2400²).

The spelling of 12000480 in words is "twelve million, four hundred eighty", and thus it is an aban number.