12054984480000 has 4320 divisors, whose sum is σ = 58811582269440. Its totient is φ = 2299207680000.

The previous prime is 12054984479963. The next prime is 12054984480041. The reversal of 12054984480000 is 8448945021.

12054984480000 is a `hidden beast` number, since 1 + 20 + 549 + 8 + 4 + 4 + 80 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 73956959919 + ... + 73956960081.

It is an arithmetic number, because the mean of its divisors is an integer number (13613792192).

Almost surely, 2^{12054984480000} is an apocalyptic number.

12054984480000 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 12054984480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29405791134720).

12054984480000 is an abundant number, since it is smaller than the sum of its proper divisors (46756597789440).

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

12054984480000 is a wasteful number, since it uses less digits than its factorization.

12054984480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 12054984480000 in words is "twelve trillion, fifty-four billion, nine hundred eighty-four million, four hundred eighty thousand".