2012987285712 has 640 divisors, whose sum is σ = 6809164185600. Its totient is φ = 563952347136.

The previous prime is 2012987285669. The next prime is 2012987285713. The reversal of 2012987285712 is 2175827892102.

2012987285712 is a `hidden beast` number, since 2 + 0 + 1 + 298 + 7 + 285 + 71 + 2 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012987285713) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 327684913 + ... + 327691055.

It is an arithmetic number, because the mean of its divisors is an integer number (10639319040).

Almost surely, 2^{2012987285712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012987285712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404582092800).

2012987285712 is an abundant number, since it is smaller than the sum of its proper divisors (4796176899888).

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

2012987285712 is a wasteful number, since it uses less digits than its factorization.

2012987285712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 6300 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 2012987285712 in words is "two trillion, twelve billion, nine hundred eighty-seven million, two hundred eighty-five thousand, seven hundred twelve".