12135920 has 40 divisors (see below), whose sum is σ = 29194560. Its totient is φ = 4686080.

The previous prime is 12135913. The next prime is 12135931. The reversal of 12135920 is 2953121.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296 + ... + 4935.

It is an arithmetic number, because the mean of its divisors is an integer number (729864).

Almost surely, 2^12135920 is an apocalyptic number.

12135920 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 12135920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14597280).

12135920 is an abundant number, since it is smaller than the sum of its proper divisors (17058640).

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

12135920 is a wasteful number, since it uses less digits than its factorization.

12135920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273 (or 5267 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 12135920 is about 3483.6647370262. The cubic root of 12135920 is about 229.8039917976.

The spelling of 12135920 in words is "twelve million, one hundred thirty-five thousand, nine hundred twenty".