12067228800 has 384 divisors, whose sum is σ = 48181291200. Its totient is φ = 2925158400.

The previous prime is 12067228793. The next prime is 12067228819. The reversal of 12067228800 is 882276021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 944052 + ... + 956748.

Almost surely, 2^12067228800 is an apocalyptic number.

12067228800 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 12067228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24090645600).

12067228800 is an abundant number, since it is smaller than the sum of its proper divisors (36114062400).

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

12067228800 is a wasteful number, since it uses less digits than its factorization.

12067228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12741 (or 12718 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 12067228800 in words is "twelve billion, sixty-seven million, two hundred twenty-eight thousand, eight hundred".