12000455280 has 240 divisors, whose sum is σ = 44371847520. Its totient is φ = 2882304000.

The previous prime is 12000455267. The next prime is 12000455281. The reversal of 12000455280 is 8255400021.

It is a happy number.

12000455280 is a `hidden beast` number, since 1 + 200 + 0 + 455 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000455281) 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, 856330 + ... + 870230.

It is an arithmetic number, because the mean of its divisors is an integer number (184882698).

Almost surely, 2^12000455280 is an apocalyptic number.

12000455280 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 12000455280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22185923760).

12000455280 is an abundant number, since it is smaller than the sum of its proper divisors (32371392240).

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

12000455280 is a wasteful number, since it uses less digits than its factorization.

12000455280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14040 (or 14031 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 12000455280 in words is "twelve billion, four hundred fifty-five thousand, two hundred eighty".