12005273280 has 1008 divisors, whose sum is σ = 53172433152. Its totient is φ = 2228428800.

The previous prime is 12005273237. The next prime is 12005273281. The reversal of 12005273280 is 8237250021.

12005273280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005273281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 387266865 + ... + 387266895.

Almost surely, 2^12005273280 is an apocalyptic number.

12005273280 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 12005273280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26586216576).

12005273280 is an abundant number, since it is smaller than the sum of its proper divisors (41167159872).

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

12005273280 is a wasteful number, since it uses less digits than its factorization.

12005273280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 12005273280 in words is "twelve billion, five million, two hundred seventy-three thousand, two hundred eighty".