12382020288 has 168 divisors, whose sum is σ = 40151791680. Its totient is φ = 3752075520.

The previous prime is 12382020283. The next prime is 12382020311. The reversal of 12382020288 is 88202028321.

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

It is not an unprimeable number, because it can be changed into a prime (12382020283) 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, 134883 + ... + 207261.

It is an arithmetic number, because the mean of its divisors is an integer number (238998760).

Almost surely, 2^12382020288 is an apocalyptic number.

12382020288 is a gapful number since it is divisible by the number (18) 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 12382020288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20075895840).

12382020288 is an abundant number, since it is smaller than the sum of its proper divisors (27769771392).

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

12382020288 is an equidigital number, since it uses as much as digits as its factorization.

12382020288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72417 (or 72395 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 12382020288 in words is "twelve billion, three hundred eighty-two million, twenty thousand, two hundred eighty-eight".