12111920 has 40 divisors (see below), whose sum is σ = 28458000. Its totient is φ = 4793600.

The previous prime is 12111907. The next prime is 12111923. The reversal of 12111920 is 2911121.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (12111923) 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, 7331 + ... + 8829.

It is an arithmetic number, because the mean of its divisors is an integer number (711450).

Almost surely, 2^12111920 is an apocalyptic number.

12111920 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 12111920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14229000).

12111920 is an abundant number, since it is smaller than the sum of its proper divisors (16346080).

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

12111920 is a wasteful number, since it uses less digits than its factorization.

12111920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 12111920 is about 3480.2183839524. The cubic root of 12111920 is about 229.6524050071.

It can be divided in two parts, 12111 and 920, that added together give a palindrome (13031).

The spelling of 12111920 in words is "twelve million, one hundred eleven thousand, nine hundred twenty".