12005249760 has 288 divisors, whose sum is σ = 48555666432. Its totient is φ = 2743994880.

The previous prime is 12005249749. The next prime is 12005249761. The reversal of 12005249760 is 6794250021.

12005249760 is a `hidden beast` number, since 120 + 0 + 524 + 9 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005249761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250105 + ... + 294215.

It is an arithmetic number, because the mean of its divisors is an integer number (168596064).

Almost surely, 2^12005249760 is an apocalyptic number.

12005249760 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 12005249760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24277833216).

12005249760 is an abundant number, since it is smaller than the sum of its proper divisors (36550416672).

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

12005249760 is an equidigital number, since it uses as much as digits as its factorization.

12005249760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44148 (or 44128 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 12005249760 its reverse (6794250021), we get a palindrome (18799499781).

The spelling of 12005249760 in words is "twelve billion, five million, two hundred forty-nine thousand, seven hundred sixty".