12127009774080 has 320 divisors, whose sum is σ = 42125418086400. Its totient is φ = 2964836597760.

The previous prime is 12127009774079. The next prime is 12127009774097. The reversal of 12127009774080 is 8047790072121.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3183081 + ... + 5863959.

It is an arithmetic number, because the mean of its divisors is an integer number (131641931520).

Almost surely, 2^{12127009774080} is an apocalyptic number.

12127009774080 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 12127009774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21062709043200).

12127009774080 is an abundant number, since it is smaller than the sum of its proper divisors (29998408312320).

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

12127009774080 is a wasteful number, since it uses less digits than its factorization.

12127009774080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680955 (or 2680939 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 48.

The spelling of 12127009774080 in words is "twelve trillion, one hundred twenty-seven billion, nine million, seven hundred seventy-four thousand, eighty".