12923520 has 128 divisors (see below), whose sum is σ = 42301440. Its totient is φ = 3354624.

The previous prime is 12923509. The next prime is 12923527. The reversal of 12923520 is 2532921.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12923527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101697 + ... + 101823.

It is an arithmetic number, because the mean of its divisors is an integer number (330480).

Almost surely, 2^12923520 is an apocalyptic number.

12923520 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 12923520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21150720).

12923520 is an abundant number, since it is smaller than the sum of its proper divisors (29377920).

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

12923520 is a wasteful number, since it uses less digits than its factorization.

12923520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 12923520 is about 3594.9297628744. The cubic root of 12923520 is about 234.6714588094.

The spelling of 12923520 in words is "twelve million, nine hundred twenty-three thousand, five hundred twenty".