12083920 has 20 divisors (see below), whose sum is σ = 28095300. Its totient is φ = 4833536.

The previous prime is 12083879. The next prime is 12083921. The reversal of 12083920 is 2938021.

It can be written as a sum of positive squares in 2 ways, for example, as 5973136 + 6110784 = 2444^2 + 2472^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×12083920² = 292042245132800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12083921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75445 + ... + 75604.

It is an arithmetic number, because the mean of its divisors is an integer number (1404765).

Almost surely, 2^12083920 is an apocalyptic number.

12083920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12083920 is an abundant number, since it is smaller than the sum of its proper divisors (16011380).

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

12083920 is a wasteful number, since it uses less digits than its factorization.

12083920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151062 (or 151056 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 12083920 is about 3476.1933202859. The cubic root of 12083920 is about 229.4753004462.

The spelling of 12083920 in words is "twelve million, eighty-three thousand, nine hundred twenty".