12032112120 has 128 divisors (see below), whose sum is σ = 41338391040. Its totient is φ = 2744501760.

The previous prime is 12032112089. The next prime is 12032112133. The reversal of 12032112120 is 2121123021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12032112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397854 + ... + 427026.

It is an arithmetic number, because the mean of its divisors is an integer number (322956180).

Almost surely, 2^12032112120 is an apocalyptic number.

12032112120 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 12032112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20669195520).

12032112120 is an abundant number, since it is smaller than the sum of its proper divisors (29306278920).

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

12032112120 is a wasteful number, since it uses less digits than its factorization.

12032112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29685 (or 29681 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12032112120 its reverse (2121123021), we get a palindrome (14153235141).

The spelling of 12032112120 in words is "twelve billion, thirty-two million, one hundred twelve thousand, one hundred twenty".