2001071123688 has 64 divisors (see below), whose sum is σ = 6157141925760. Its totient is φ = 527755021056.

The previous prime is 2001071123687. The next prime is 2001071123729. The reversal of 2001071123688 is 8863211701002.

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

It is not an unprimeable number, because it can be changed into a prime (2001071123687) 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 15 ways as a sum of consecutive naturals, for example, 458118495 + ... + 458122862.

It is an arithmetic number, because the mean of its divisors is an integer number (96205342590).

Almost surely, 2^{2001071123688} is an apocalyptic number.

2001071123688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2001071123688 is an abundant number, since it is smaller than the sum of its proper divisors (4156070802072).

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

2001071123688 is a wasteful number, since it uses less digits than its factorization.

2001071123688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916241386 (or 916241382 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 2001071123688 in words is "two trillion, one billion, seventy-one million, one hundred twenty-three thousand, six hundred eighty-eight".