22000082220000 has 480 divisors, whose sum is σ = 80221452917760. Its totient is φ = 5863872960000.

The previous prime is 22000082219989. The next prime is 22000082220023. The reversal of 22000082220000 is 2228000022.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1280331409 + ... + 1280348591.

It is an arithmetic number, because the mean of its divisors is an integer number (167128026912).

Almost surely, 2^{22000082220000} is an apocalyptic number.

22000082220000 is a gapful number since it is divisible by the number (20) 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 22000082220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40110726458880).

22000082220000 is an abundant number, since it is smaller than the sum of its proper divisors (58221370697760).

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

22000082220000 is a wasteful number, since it uses less digits than its factorization.

22000082220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19593 (or 19564 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The spelling of 22000082220000 in words is "twenty-two trillion, eighty-two million, two hundred twenty thousand".