1000960950912 has 256 divisors, whose sum is σ = 3163578405120. Its totient is φ = 277267415040.

The previous prime is 1000960950893. The next prime is 1000960950949. The reversal of 1000960950912 is 2190590690001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1695462 + ... + 2208282.

It is an arithmetic number, because the mean of its divisors is an integer number (12357728145).

Almost surely, 2^{1000960950912} is an apocalyptic number.

1000960950912 is a gapful number since it is divisible by the number (12) 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 1000960950912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581789202560).

1000960950912 is an abundant number, since it is smaller than the sum of its proper divisors (2162617454208).

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

1000960950912 is a wasteful number, since it uses less digits than its factorization.

1000960950912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512891 (or 512879 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 42.

The spelling of 1000960950912 in words is "one trillion, nine hundred sixty million, nine hundred fifty thousand, nine hundred twelve".