12127287002880 has 1296 divisors, whose sum is σ = 46575219438720. Its totient is φ = 2681266323456.

The previous prime is 12127287002879. The next prime is 12127287002881. The reversal of 12127287002880 is 8820078272121.

It is an interprime number because it is at equal distance from previous prime (12127287002879) and next prime (12127287002881).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12127287002881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67750206631 + ... + 67750206809.

It is an arithmetic number, because the mean of its divisors is an integer number (35937669320).

Almost surely, 2^{12127287002880} is an apocalyptic number.

12127287002880 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 12127287002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23287609719360).

12127287002880 is an abundant number, since it is smaller than the sum of its proper divisors (34447932435840).

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

12127287002880 is a wasteful number, since it uses less digits than its factorization.

12127287002880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 48.

The spelling of 12127287002880 in words is "twelve trillion, one hundred twenty-seven billion, two hundred eighty-seven million, two thousand, eight hundred eighty".