12128332032 has 216 divisors, whose sum is σ = 38638664064. Its totient is φ = 3639263232.

The previous prime is 12128331973. The next prime is 12128332037. The reversal of 12128332032 is 23023382121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12128331987 and 12128332005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12128332037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 894133 + ... + 907595.

It is an arithmetic number, because the mean of its divisors is an integer number (178882704).

Almost surely, 2^12128332032 is an apocalyptic number.

12128332032 is a gapful number since it is divisible by the number (12) 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 12128332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19319332032).

12128332032 is an abundant number, since it is smaller than the sum of its proper divisors (26510332032).

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

12128332032 is a wasteful number, since it uses less digits than its factorization.

12128332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13525 (or 13508 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 12128332032 in words is "twelve billion, one hundred twenty-eight million, three hundred thirty-two thousand, thirty-two".