12412342800 has 1440 divisors, whose sum is σ = 56416389120. Its totient is φ = 2575411200.

The previous prime is 12412342799. The next prime is 12412342837. The reversal of 12412342800 is 824321421.

12412342800 is a `hidden beast` number, since 1 + 241 + 2 + 342 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 264092377 + ... + 264092423.

It is an arithmetic number, because the mean of its divisors is an integer number (39178048).

Almost surely, 2^12412342800 is an apocalyptic number.

12412342800 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 12412342800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28208194560).

12412342800 is an abundant number, since it is smaller than the sum of its proper divisors (44004046320).

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

12412342800 is a wasteful number, since it uses less digits than its factorization.

12412342800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 12412342800 in words is "twelve billion, four hundred twelve million, three hundred forty-two thousand, eight hundred".