12282284300 has 144 divisors (see below), whose sum is σ = 31563313152. Its totient is φ = 4089657600.

The previous prime is 12282284297. The next prime is 12282284341. The reversal of 12282284300 is 348228221.

It is a super-3 number, since 3×12282284300³ (a number of 31 digits) contains 333 as substring.

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, 1812719 + ... + 1819481.

Almost surely, 2^12282284300 is an apocalyptic number.

12282284300 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 12282284300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15781656576).

12282284300 is an abundant number, since it is smaller than the sum of its proper divisors (19281028852).

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

12282284300 is a wasteful number, since it uses less digits than its factorization.

12282284300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6928 (or 6921 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 12282284300 in words is "twelve billion, two hundred eighty-two million, two hundred eighty-four thousand, three hundred".