13122768 has 40 divisors (see below), whose sum is σ = 35687200. Its totient is φ = 4143744.

The previous prime is 13122763. The next prime is 13122817. The reversal of 13122768 is 86722131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122763) 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, 6283 + ... + 8106.

It is an arithmetic number, because the mean of its divisors is an integer number (892180).

Almost surely, 2^13122768 is an apocalyptic number.

It is an amenable number.

13122768 is an abundant number, since it is smaller than the sum of its proper divisors (22564432).

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

13122768 is a wasteful number, since it uses less digits than its factorization.

13122768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14419 (or 14413 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 13122768 is about 3622.5361281842. The cubic root of 13122768 is about 235.8713269651.

Adding to 13122768 its reverse (86722131), we get a palindrome (99844899).

It can be divided in two parts, 13122 and 768, that multiplied together give a 9-th power (10077696 = 6⁹).

The spelling of 13122768 in words is "thirteen million, one hundred twenty-two thousand, seven hundred sixty-eight".