12000433200 has 360 divisors, whose sum is σ = 45097684992. Its totient is φ = 2719664640.

The previous prime is 12000433177. The next prime is 12000433261. The reversal of 12000433200 is 233400021.

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 12000433200.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7466797 + ... + 7468403.

Almost surely, 2^12000433200 is an apocalyptic number.

12000433200 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 12000433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22548842496).

12000433200 is an abundant number, since it is smaller than the sum of its proper divisors (33097251792).

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

12000433200 is a wasteful number, since it uses less digits than its factorization.

12000433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 12000433200 its reverse (233400021), we get a palindrome (12233833221).

The spelling of 12000433200 in words is "twelve billion, four hundred thirty-three thousand, two hundred".