12931520 has 112 divisors (see below), whose sum is σ = 36868608. Its totient is φ = 4224000.

The previous prime is 12931493. The next prime is 12931549. The reversal of 12931520 is 2513921.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 51395 + ... + 51645.

It is an arithmetic number, because the mean of its divisors is an integer number (329184).

Almost surely, 2^12931520 is an apocalyptic number.

12931520 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 12931520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434304).

12931520 is an abundant number, since it is smaller than the sum of its proper divisors (23937088).

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

12931520 is a wasteful number, since it uses less digits than its factorization.

12931520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 12931520 is about 3596.0422689396. The cubic root of 12931520 is about 234.7198714303.

The spelling of 12931520 in words is "twelve million, nine hundred thirty-one thousand, five hundred twenty".