1001000009912 has 64 divisors (see below), whose sum is σ = 2259013536000. Its totient is φ = 406219677696.

The previous prime is 1001000009873. The next prime is 1001000009927. The reversal of 1001000009912 is 2199000001001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1924664 + ... + 2388792.

It is an arithmetic number, because the mean of its divisors is an integer number (35297086500).

Almost surely, 2^{1001000009912} 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 1001000009912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129506768000).

1001000009912 is an abundant number, since it is smaller than the sum of its proper divisors (1258013526088).

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

1001000009912 is a wasteful number, since it uses less digits than its factorization.

1001000009912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466188 (or 466184 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 23.

The spelling of 1001000009912 in words is "one trillion, one billion, nine thousand, nine hundred twelve".