12111052800 has 528 divisors, whose sum is σ = 49928982912. Its totient is φ = 2516582400.

The previous prime is 12111052781. The next prime is 12111052801. The reversal of 12111052800 is 825011121.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111052801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1101004795 + ... + 1101004805.

Almost surely, 2^12111052800 is an apocalyptic number.

12111052800 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 12111052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24964491456).

12111052800 is an abundant number, since it is smaller than the sum of its proper divisors (37817930112).

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

12111052800 is an frugal number, since it uses more digits than its factorization.

12111052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 21.

Adding to 12111052800 its reverse (825011121), we get a palindrome (12936063921).

The spelling of 12111052800 in words is "twelve billion, one hundred eleven million, fifty-two thousand, eight hundred".