12382050240 has 672 divisors, whose sum is σ = 50439767040. Its totient is φ = 2729852928.

The previous prime is 12382050229. The next prime is 12382050269. The reversal of 12382050240 is 4205028321.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120214029 + ... + 120214131.

Almost surely, 2^12382050240 is an apocalyptic number.

12382050240 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 12382050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25219883520).

12382050240 is an abundant number, since it is smaller than the sum of its proper divisors (38057716800).

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

12382050240 is a wasteful number, since it uses less digits than its factorization.

12382050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12382050240 its reverse (4205028321), we get a palindrome (16587078561).

The spelling of 12382050240 in words is "twelve billion, three hundred eighty-two million, fifty thousand, two hundred forty".