12424946400 has 360 divisors, whose sum is σ = 47980991520. Its totient is φ = 3118141440.

The previous prime is 12424946353. The next prime is 12424946423. The reversal of 12424946400 is 464942421.

It is a happy number.

12424946400 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 4 + 9 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1095961 + ... + 1107239.

It is an arithmetic number, because the mean of its divisors is an integer number (133280532).

Almost surely, 2^12424946400 is an apocalyptic number.

12424946400 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 12424946400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23990495760).

12424946400 is an abundant number, since it is smaller than the sum of its proper divisors (35556045120).

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

12424946400 is a wasteful number, since it uses less digits than its factorization.

12424946400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11328 (or 11306 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 12424946400 in words is "twelve billion, four hundred twenty-four million, nine hundred forty-six thousand, four hundred".