12986028000000 has 2016 divisors, whose sum is σ = 55532214178560. Its totient is φ = 2958336000000.

The previous prime is 12986027999981. The next prime is 12986028000019. The reversal of 12986028000000 is 82068921.

It is an interprime number because it is at equal distance from previous prime (12986027999981) and next prime (12986028000019).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 20195999679 + ... + 20196000321.

It is an arithmetic number, because the mean of its divisors is an integer number (27545741160).

Almost surely, 2^{12986028000000} is an apocalyptic number.

12986028000000 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 12986028000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27766107089280).

12986028000000 is an abundant number, since it is smaller than the sum of its proper divisors (42546186178560).

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

12986028000000 is an frugal number, since it uses more digits than its factorization.

12986028000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 12986028000000 in words is "twelve trillion, nine hundred eighty-six billion, twenty-eight million", and thus it is an aban number.