13122816 has 72 divisors (see below), whose sum is σ = 39931584. Its totient is φ = 3747840.

The previous prime is 13122763. The next prime is 13122817. The reversal of 13122816 is 61822131.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4156 + ... + 6596.

Almost surely, 2^13122816 is an apocalyptic number.

13122816 is a gapful number since it is divisible by the number (16) 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 13122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19965792).

13122816 is an abundant number, since it is smaller than the sum of its proper divisors (26808768).

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

13122816 is an equidigital number, since it uses as much as digits as its factorization.

13122816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467 (or 2453 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 13122816 is about 3622.5427533709. The cubic root of 13122816 is about 235.8716145521.

Adding to 13122816 its reverse (61822131), we get a palindrome (74944947).

The spelling of 13122816 in words is "thirteen million, one hundred twenty-two thousand, eight hundred sixteen".