12822720 has 168 divisors, whose sum is σ = 44128944. Its totient is φ = 3151872.

The previous prime is 12822713. The next prime is 12822731. The reversal of 12822720 is 2722821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 346542 + ... + 346578.

Almost surely, 2^12822720 is an apocalyptic number.

12822720 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 12822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22064472).

12822720 is an abundant number, since it is smaller than the sum of its proper divisors (31306224).

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

12822720 is a wasteful number, since it uses less digits than its factorization.

12822720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 12822720 is about 3580.8825727745. The cubic root of 12822720 is about 234.0597407552.

The spelling of 12822720 in words is "twelve million, eight hundred twenty-two thousand, seven hundred twenty".