6001271542812 has 576 divisors, whose sum is σ = 18434808161280. Its totient is φ = 1477795995648.

The previous prime is 6001271542787. The next prime is 6001271542823. The reversal of 6001271542812 is 2182451721006.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6616616463 + ... + 6616617369.

It is an arithmetic number, because the mean of its divisors is an integer number (32004875280).

Almost surely, 2^{6001271542812} 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 6001271542812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9217404080640).

6001271542812 is an abundant number, since it is smaller than the sum of its proper divisors (12433536618468).

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

6001271542812 is a wasteful number, since it uses less digits than its factorization.

6001271542812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 6001271542812 in words is "six trillion, one billion, two hundred seventy-one million, five hundred forty-two thousand, eight hundred twelve".