12232009728 has 288 divisors, whose sum is σ = 37869249600. Its totient is φ = 3790209024.

The previous prime is 12232009697. The next prime is 12232009733. The reversal of 12232009728 is 82790023221.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12232009692 and 12232009701.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32274243 + ... + 32274621.

It is an arithmetic number, because the mean of its divisors is an integer number (131490450).

Almost surely, 2^12232009728 is an apocalyptic number.

12232009728 is a gapful number since it is divisible by the number (18) 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 12232009728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18934624800).

12232009728 is an abundant number, since it is smaller than the sum of its proper divisors (25637239872).

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

12232009728 is a wasteful number, since it uses less digits than its factorization.

12232009728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12232009728 in words is "twelve billion, two hundred thirty-two million, nine thousand, seven hundred twenty-eight".