12054530016 has 144 divisors (see below), whose sum is σ = 34772250240. Its totient is φ = 3960864000.

The previous prime is 12054530011. The next prime is 12054530027. The reversal of 12054530016 is 61003545021.

12054530016 is a `hidden beast` number, since 1 + 205 + 453 + 0 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12054530011) 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, 7444855 + ... + 7446473.

It is an arithmetic number, because the mean of its divisors is an integer number (241473960).

Almost surely, 2^12054530016 is an apocalyptic number.

12054530016 is a gapful number since it is divisible by the number (16) 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 12054530016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17386125120).

12054530016 is an abundant number, since it is smaller than the sum of its proper divisors (22717720224).

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

12054530016 is a wasteful number, since it uses less digits than its factorization.

12054530016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 12054530016 in words is "twelve billion, fifty-four million, five hundred thirty thousand, sixteen".