12819120 has 80 divisors (see below), whose sum is σ = 41044992. Its totient is φ = 3306240.

The previous prime is 12819083. The next prime is 12819137. The reversal of 12819120 is 2191821.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6579 + ... + 8301.

Almost surely, 2^12819120 is an apocalyptic number.

12819120 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 12819120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20522496).

12819120 is an abundant number, since it is smaller than the sum of its proper divisors (28225872).

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

12819120 is a wasteful number, since it uses less digits than its factorization.

12819120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 12819120 is about 3580.3798681146. The cubic root of 12819120 is about 234.0378344843.

It can be divided in two parts, 1281 and 9120, that added together give a palindrome (10401).

The spelling of 12819120 in words is "twelve million, eight hundred nineteen thousand, one hundred twenty".