12800520 has 144 divisors (see below), whose sum is σ = 44148780. Its totient is φ = 3214080.

The previous prime is 12800503. The next prime is 12800533. The reversal of 12800520 is 2500821.

It can be written as a sum of positive squares in 2 ways, for example, as 12489156 + 311364 = 3534^2 + 558^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12800493 and 12800502.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 345942 + ... + 345978.

Almost surely, 2^12800520 is an apocalyptic number.

12800520 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 12800520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22074390).

12800520 is an abundant number, since it is smaller than the sum of its proper divisors (31348260).

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

12800520 is a wasteful number, since it uses less digits than its factorization.

12800520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 12800520 is about 3577.7814354709. The cubic root of 12800520 is about 233.9245867000.

The spelling of 12800520 in words is "twelve million, eight hundred thousand, five hundred twenty".