12405352050 has 324 divisors, whose sum is σ = 41994893070. Its totient is φ = 2616606720.

The previous prime is 12405352049. The next prime is 12405352051. The reversal of 12405352050 is 5025350421.

It is a happy number.

12405352050 is a `hidden beast` number, since 1 + 2 + 40 + 53 + 520 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (12405352049) and next prime (12405352051).

It can be written as a sum of positive squares in 9 ways, for example, as 466948881 + 11938403169 = 21609^2 + 109263^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12405352051) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 3724786 + ... + 3728114.

Almost surely, 2^12405352050 is an apocalyptic number.

12405352050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12405352050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20997446535).

12405352050 is an abundant number, since it is smaller than the sum of its proper divisors (29589541020).

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

12405352050 is a wasteful number, since it uses less digits than its factorization.

12405352050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 12405352050 in words is "twelve billion, four hundred five million, three hundred fifty-two thousand, fifty".