12054511344160 has 192 divisors, whose sum is σ = 29442461368320. Its totient is φ = 4661019417600.

The previous prime is 12054511344131. The next prime is 12054511344191. The reversal of 12054511344160 is 6144311545021.

It is a super-2 number, since 2×12054511344160² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1382552281 + ... + 1382560999.

It is an arithmetic number, because the mean of its divisors is an integer number (153346152960).

Almost surely, 2^{12054511344160} is an apocalyptic number.

12054511344160 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 12054511344160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14721230684160).

12054511344160 is an abundant number, since it is smaller than the sum of its proper divisors (17387950024160).

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

12054511344160 is a wasteful number, since it uses less digits than its factorization.

12054511344160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10831 (or 10823 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

Adding to 12054511344160 its reverse (6144311545021), we get a palindrome (18198822889181).

The spelling of 12054511344160 in words is "twelve trillion, fifty-four billion, five hundred eleven million, three hundred forty-four thousand, one hundred sixty".