12045335040 has 720 divisors, whose sum is σ = 46641827232. Its totient is φ = 2978021376.

The previous prime is 12045335021. The next prime is 12045335047. The reversal of 12045335040 is 4053354021.

12045335040 is a `hidden beast` number, since 120 + 4 + 5 + 33 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12045334995 and 12045335013.

It is not an unprimeable number, because it can be changed into a prime (12045335047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 179781087 + ... + 179781153.

Almost surely, 2^12045335040 is an apocalyptic number.

12045335040 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 12045335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23320913616).

12045335040 is an abundant number, since it is smaller than the sum of its proper divisors (34596492192).

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

12045335040 is an frugal number, since it uses more digits than its factorization.

12045335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 12045335040 its reverse (4053354021), we get a palindrome (16098689061).

The spelling of 12045335040 in words is "twelve billion, forty-five million, three hundred thirty-five thousand, forty".