12405494250 has 240 divisors, whose sum is σ = 36634805064. Its totient is φ = 3132172800.

The previous prime is 12405494209. The next prime is 12405494263. The reversal of 12405494250 is 5249450421.

It is a happy number.

12405494250 is a `hidden beast` number, since 1 + 24 + 0 + 549 + 42 + 50 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7222790169 + 5182704081 = 84987^2 + 71991^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7309402 + ... + 7311098.

Almost surely, 2^12405494250 is an apocalyptic number.

12405494250 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 12405494250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18317402532).

12405494250 is an abundant number, since it is smaller than the sum of its proper divisors (24229310814).

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

12405494250 is a wasteful number, since it uses less digits than its factorization.

12405494250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 12405494250 in words is "twelve billion, four hundred five million, four hundred ninety-four thousand, two hundred fifty".