12405492800 has 84 divisors (see below), whose sum is σ = 30645056820. Its totient is φ = 4942725120.

The previous prime is 12405492709. The next prime is 12405492857. The reversal of 12405492800 is 829450421.

It can be written as a sum of positive squares in 6 ways, for example, as 635846656 + 11769646144 = 25216^2 + 108488^2 .

It is a super-2 number, since 2×12405492800² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396116 + ... + 426284.

It is an arithmetic number, because the mean of its divisors is an integer number (364822105).

Almost surely, 2^12405492800 is an apocalyptic number.

12405492800 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 12405492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15322528410).

12405492800 is an abundant number, since it is smaller than the sum of its proper divisors (18239564020).

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

12405492800 is a wasteful number, since it uses less digits than its factorization.

12405492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30448 (or 30433 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 12405492800 in words is "twelve billion, four hundred five million, four hundred ninety-two thousand, eight hundred".