12245644800 has 720 divisors, whose sum is σ = 47282307072. Its totient is φ = 3135283200.

The previous prime is 12245644793. The next prime is 12245644813. The reversal of 12245644800 is 844654221.

12245644800 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 5 + 644 + 8 + 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96422337 + ... + 96422463.

Almost surely, 2^12245644800 is an apocalyptic number.

12245644800 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 12245644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23641153536).

12245644800 is an abundant number, since it is smaller than the sum of its proper divisors (35036662272).

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

12245644800 is an equidigital number, since it uses as much as digits as its factorization.

12245644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 12245644800 in words is "twelve billion, two hundred forty-five million, six hundred forty-four thousand, eight hundred".