12980520 has 256 divisors, whose sum is σ = 52876800. Its totient is φ = 2764800.

The previous prime is 12980519. The next prime is 12980521. The reversal of 12980520 is 2508921.

It is an interprime number because it is at equal distance from previous prime (12980519) and next prime (12980521).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12980521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128470 + ... + 128570.

It is an arithmetic number, because the mean of its divisors is an integer number (206550).

Almost surely, 2^12980520 is an apocalyptic number.

12980520 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 12980520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26438400).

12980520 is an abundant number, since it is smaller than the sum of its proper divisors (39896280).

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

12980520 is a wasteful number, since it uses less digits than its factorization.

12980520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 12980520 is about 3602.8488727672. The cubic root of 12980520 is about 235.0159639072.

The spelling of 12980520 in words is "twelve million, nine hundred eighty thousand, five hundred twenty".