12722580 has 72 divisors (see below), whose sum is σ = 41568072. Its totient is φ = 3131136.

The previous prime is 12722573. The next prime is 12722599. The reversal of 12722580 is 8522721.

12722580 is a `hidden beast` number, since 12 + 72 + 2 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 318096 + 12404484 = 564^2 + 3522^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379 + ... + 5058.

Almost surely, 2^12722580 is an apocalyptic number.

12722580 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 12722580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20784036).

12722580 is an abundant number, since it is smaller than the sum of its proper divisors (28845492).

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

12722580 is a wasteful number, since it uses less digits than its factorization.

12722580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5465 (or 5460 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 12722580 is about 3566.8725797258. The cubic root of 12722580 is about 233.4488453005.

The spelling of 12722580 in words is "twelve million, seven hundred twenty-two thousand, five hundred eighty".