12286259200 has 78 divisors (see below), whose sum is σ = 30466457264. Its totient is φ = 4914462720.

The previous prime is 12286259191. The next prime is 12286259203. The reversal of 12286259200 is 295268221.

It is a self number, because there is not a number n which added to its sum of digits gives 12286259200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12286259203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42409 + ... + 162391.

Almost surely, 2^12286259200 is an apocalyptic number.

12286259200 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 12286259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15233228632).

12286259200 is an abundant number, since it is smaller than the sum of its proper divisors (18180198064).

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

12286259200 is an equidigital number, since it uses as much as digits as its factorization.

12286259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120017 (or 119990 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 12286259200 in words is "twelve billion, two hundred eighty-six million, two hundred fifty-nine thousand, two hundred".