12812580 has 120 divisors (see below), whose sum is σ = 43908480. Its totient is φ = 3101760.

The previous prime is 12812567. The next prime is 12812621. The reversal of 12812580 is 8521821.

12812580 is a `hidden beast` number, since 1 + 2 + 81 + 2 + 580 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17461 + ... + 18179.

It is an arithmetic number, because the mean of its divisors is an integer number (365904).

Almost surely, 2^12812580 is an apocalyptic number.

12812580 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 12812580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954240).

12812580 is an abundant number, since it is smaller than the sum of its proper divisors (31095900).

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

12812580 is a wasteful number, since it uses less digits than its factorization.

12812580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 12812580 is about 3579.4664406864. The cubic root of 12812580 is about 233.9980275968.

The spelling of 12812580 in words is "twelve million, eight hundred twelve thousand, five hundred eighty".