1082305022000 has 80 divisors (see below), whose sum is σ = 2620848496032. Its totient is φ = 432287609600.

The previous prime is 1082305021999. The next prime is 1082305022011. The reversal of 1082305022000 is 2205032801.

1082305022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 969842 + ... + 1762158.

Almost surely, 2^{1082305022000} is an apocalyptic number.

1082305022000 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 1082305022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310424248016).

1082305022000 is an abundant number, since it is smaller than the sum of its proper divisors (1538543474032).

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

1082305022000 is an equidigital number, since it uses as much as digits as its factorization.

1082305022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793023 (or 793007 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The spelling of 1082305022000 in words is "one trillion, eighty-two billion, three hundred five million, twenty-two thousand".