12948720 has 80 divisors (see below), whose sum is σ = 40509312. Its totient is φ = 3421440.

The previous prime is 12948707. The next prime is 12948737. The reversal of 12948720 is 2784921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38955 + ... + 39285.

Almost surely, 2^12948720 is an apocalyptic number.

12948720 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 12948720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20254656).

12948720 is an abundant number, since it is smaller than the sum of its proper divisors (27560592).

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

12948720 is a wasteful number, since it uses less digits than its factorization.

12948720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 12948720 is about 3598.4329922898. The cubic root of 12948720 is about 234.8238909933.

The spelling of 12948720 in words is "twelve million, nine hundred forty-eight thousand, seven hundred twenty".