1006802120000 has 140 divisors (see below), whose sum is σ = 2497828204740. Its totient is φ = 402513408000.

The previous prime is 1006802119993. The next prime is 1006802120011. The reversal of 1006802120000 is 212086001.

It can be written as a sum of positive squares in 10 ways, for example, as 948551332096 + 58250787904 = 973936^2 + 241352^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95074706 + ... + 95085294.

Almost surely, 2^{1006802120000} is an apocalyptic number.

1006802120000 is a gapful number since it is divisible by the number (10) 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 1006802120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248914102370).

1006802120000 is an abundant number, since it is smaller than the sum of its proper divisors (1491026084740).

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

1006802120000 is an equidigital number, since it uses as much as digits as its factorization.

1006802120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12998 (or 12973 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The spelling of 1006802120000 in words is "one trillion, six billion, eight hundred two million, one hundred twenty thousand".