12033040320 has 224 divisors, whose sum is σ = 48514406400. Its totient is φ = 2750395392.

The previous prime is 12033040319. The next prime is 12033040343. The reversal of 12033040320 is 2304033021.

12033040320 is a `hidden beast` number, since 12 + 0 + 330 + 4 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12033040293 and 12033040302.

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, 39000 + ... + 159959.

Almost surely, 2^12033040320 is an apocalyptic number.

12033040320 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 12033040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24257203200).

12033040320 is an abundant number, since it is smaller than the sum of its proper divisors (36481366080).

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

12033040320 is a wasteful number, since it uses less digits than its factorization.

12033040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198992 (or 198976 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12033040320 its reverse (2304033021), we get a palindrome (14337073341).

The spelling of 12033040320 in words is "twelve billion, thirty-three million, forty thousand, three hundred twenty".