12045210240 has 256 divisors, whose sum is σ = 44483685120. Its totient is φ = 2715254784.

The previous prime is 12045210211. The next prime is 12045210257. The reversal of 12045210240 is 4201254021.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 974982 + ... + 987258.

It is an arithmetic number, because the mean of its divisors is an integer number (173764395).

Almost surely, 2^12045210240 is an apocalyptic number.

12045210240 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 12045210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22241842560).

12045210240 is an abundant number, since it is smaller than the sum of its proper divisors (32438474880).

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

12045210240 is a wasteful number, since it uses less digits than its factorization.

12045210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12379 (or 12367 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 12045210240 its reverse (4201254021), we get a palindrome (16246464261).

The spelling of 12045210240 in words is "twelve billion, forty-five million, two hundred ten thousand, two hundred forty".