12822516 has 72 divisors (see below), whose sum is σ = 38687040. Its totient is φ = 3662064.

The previous prime is 12822503. The next prime is 12822517. The reversal of 12822516 is 61522821.

It is a happy number.

12822516 is a `hidden beast` number, since 128 + 22 + 516 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12822516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12822517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4081 + ... + 6503.

It is an arithmetic number, because the mean of its divisors is an integer number (537320).

Almost surely, 2^12822516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12822516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19343520).

12822516 is an abundant number, since it is smaller than the sum of its proper divisors (25864524).

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

12822516 is a wasteful number, since it uses less digits than its factorization.

12822516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2435 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 12822516 is about 3580.8540880633. The cubic root of 12822516 is about 234.0584995095.

The spelling of 12822516 in words is "twelve million, eight hundred twenty-two thousand, five hundred sixteen".