12259564800 has 648 divisors, whose sum is σ = 47935119456. Its totient is φ = 2750791680.

The previous prime is 12259564789. The next prime is 12259564813. The reversal of 12259564800 is 846595221.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 78086322 + ... + 78086478.

Almost surely, 2^12259564800 is an apocalyptic number.

12259564800 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 12259564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23967559728).

12259564800 is an abundant number, since it is smaller than the sum of its proper divisors (35675554656).

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

12259564800 is a wasteful number, since it uses less digits than its factorization.

12259564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 12259564800 in words is "twelve billion, two hundred fifty-nine million, five hundred sixty-four thousand, eight hundred".