12413261250 has 180 divisors, whose sum is σ = 36398200410. Its totient is φ = 3055104000.

The previous prime is 12413261233. The next prime is 12413261257. The reversal of 12413261250 is 5216231421.

12413261250 is a `hidden beast` number, since 1 + 2 + 41 + 3 + 2 + 612 + 5 + 0 = 666.

It can be written as a sum of positive squares in 15 ways, for example, as 11590890921 + 822370329 = 107661^2 + 28677^2 .

It is not an unprimeable number, because it can be changed into a prime (12413261257) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1897986 + ... + 1904514.

Almost surely, 2^12413261250 is an apocalyptic number.

12413261250 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 12413261250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18199100205).

12413261250 is an abundant number, since it is smaller than the sum of its proper divisors (23984939160).

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

12413261250 is a wasteful number, since it uses less digits than its factorization.

12413261250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6583 (or 6552 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12413261250 its reverse (5216231421), we get a palindrome (17629492671).

The spelling of 12413261250 in words is "twelve billion, four hundred thirteen million, two hundred sixty-one thousand, two hundred fifty".