12822480 has 120 divisors (see below), whose sum is σ = 47005920. Its totient is φ = 3106560.

The previous prime is 12822479. The next prime is 12822503. The reversal of 12822480 is 8422821.

12822480 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 (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7111 + ... + 8729.

It is an arithmetic number, because the mean of its divisors is an integer number (391716).

Almost surely, 2^12822480 is an apocalyptic number.

12822480 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 12822480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23502960).

12822480 is an abundant number, since it is smaller than the sum of its proper divisors (34183440).

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

12822480 is a wasteful number, since it uses less digits than its factorization.

12822480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1640 counting only the distinct ones).

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

The square root of 12822480 is about 3580.8490613261. The cubic root of 12822480 is about 234.0582804647.

The spelling of 12822480 in words is "twelve million, eight hundred twenty-two thousand, four hundred eighty".