12919920 has 160 divisors (see below), whose sum is σ = 44622144. Its totient is φ = 3072000.

The previous prime is 12919903. The next prime is 12919927. The reversal of 12919920 is 2991921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12919927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127870 + ... + 127970.

Almost surely, 2^12919920 is an apocalyptic number.

12919920 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 12919920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22311072).

12919920 is an abundant number, since it is smaller than the sum of its proper divisors (31702224).

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

12919920 is a wasteful number, since it uses less digits than its factorization.

12919920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 12919920 is about 3594.4290228074. The cubic root of 12919920 is about 234.6496666117.

It can be divided in two parts, 1291 and 9920, that added together give a palindrome (11211).

The spelling of 12919920 in words is "twelve million, nine hundred nineteen thousand, nine hundred twenty".