12481920 has 192 divisors, whose sum is σ = 47258640. Its totient is φ = 3010560.

The previous prime is 12481907. The next prime is 12481951. The reversal of 12481920 is 2918421.

12481920 is digitally balanced in base 2 and base 4, because in such bases 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 (192).

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, 63262 + ... + 63458.

Almost surely, 2^12481920 is an apocalyptic number.

12481920 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 12481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23629320).

12481920 is an abundant number, since it is smaller than the sum of its proper divisors (34776720).

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

12481920 is a wasteful number, since it uses less digits than its factorization.

12481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12481920 is about 3532.9760825683. The cubic root of 12481920 is about 231.9674944550.

The spelling of 12481920 in words is "twelve million, four hundred eighty-one thousand, nine hundred twenty".