12054432960 has 672 divisors, whose sum is σ = 46597824000. Its totient is φ = 2956124160.

The previous prime is 12054432953. The next prime is 12054432977. The reversal of 12054432960 is 6923445021.

It is a happy number.

12054432960 is a `hidden beast` number, since 1 + 20 + 544 + 3 + 2 + 96 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60574941 + ... + 60575139.

It is an arithmetic number, because the mean of its divisors is an integer number (69342000).

Almost surely, 2^12054432960 is an apocalyptic number.

12054432960 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 12054432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23298912000).

12054432960 is an abundant number, since it is smaller than the sum of its proper divisors (34543391040).

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

12054432960 is a wasteful number, since it uses less digits than its factorization.

12054432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 12054432960 its reverse (6923445021), we get a palindrome (18977877981).

The spelling of 12054432960 in words is "twelve billion, fifty-four million, four hundred thirty-two thousand, nine hundred sixty".