12189882240 has 256 divisors, whose sum is σ = 45051033600. Its totient is φ = 3109201920.

The previous prime is 12189882239. The next prime is 12189882251. The reversal of 12189882240 is 4228898121.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382105 + ... + 412775.

It is an arithmetic number, because the mean of its divisors is an integer number (175980600).

Almost surely, 2^12189882240 is an apocalyptic number.

12189882240 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 12189882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22525516800).

12189882240 is an abundant number, since it is smaller than the sum of its proper divisors (32861151360).

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

12189882240 is a wasteful number, since it uses less digits than its factorization.

12189882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30722 (or 30704 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 12189882240 in words is "twelve billion, one hundred eighty-nine million, eight hundred eighty-two thousand, two hundred forty".