12002450240 has 112 divisors (see below), whose sum is σ = 31708100160. Its totient is φ = 4290478080.

The previous prime is 12002450191. The next prime is 12002450261. The reversal of 12002450240 is 4205420021.

It is a happy number.

12002450240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178784 + ... + 236576.

Almost surely, 2^12002450240 is an apocalyptic number.

12002450240 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 12002450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15854050080).

12002450240 is an abundant number, since it is smaller than the sum of its proper divisors (19705649920).

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

12002450240 is a wasteful number, since it uses less digits than its factorization.

12002450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57880 (or 57870 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 12002450240 its reverse (4205420021), we get a palindrome (16207870261).

The spelling of 12002450240 in words is "twelve billion, two million, four hundred fifty thousand, two hundred forty".