12052000800 has 864 divisors, whose sum is σ = 51831057600. Its totient is φ = 2694021120.

The previous prime is 12052000783. The next prime is 12052000811. The reversal of 12052000800 is 800025021.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62445504 + ... + 62445696.

It is an arithmetic number, because the mean of its divisors is an integer number (59989650).

Almost surely, 2^12052000800 is an apocalyptic number.

12052000800 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 12052000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25915528800).

12052000800 is an abundant number, since it is smaller than the sum of its proper divisors (39779056800).

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

12052000800 is a wasteful number, since it uses less digits than its factorization.

12052000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 12052000800 its reverse (800025021), we get a palindrome (12852025821).

The spelling of 12052000800 in words is "twelve billion, fifty-two million, eight hundred", and thus it is an aban number.