12345242400 has 720 divisors, whose sum is σ = 48850623360. Its totient is φ = 3023308800.

The previous prime is 12345242347. The next prime is 12345242411. The reversal of 12345242400 is 424254321.

12345242400 is a `hidden beast` number, since 1 + 234 + 5 + 2 + 424 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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, 45554265 + ... + 45554535.

It is an arithmetic number, because the mean of its divisors is an integer number (67848088).

Almost surely, 2^12345242400 is an apocalyptic number.

12345242400 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 12345242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24425311680).

12345242400 is an abundant number, since it is smaller than the sum of its proper divisors (36505380960).

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

12345242400 is a wasteful number, since it uses less digits than its factorization.

12345242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 12345242400 its reverse (424254321), we get a palindrome (12769496721).

The spelling of 12345242400 in words is "twelve billion, three hundred forty-five million, two hundred forty-two thousand, four hundred".