819222120 has 128 divisors (see below), whose sum is σ = 2818944000. Its totient is φ = 211403520.

The previous prime is 819222101. The next prime is 819222181. The reversal of 819222120 is 21222918.

It is a super-2 number, since 2×819222120² = 1342249763794588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21246 + ... + 45714.

It is an arithmetic number, because the mean of its divisors is an integer number (22023000).

Almost surely, 2^819222120 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 819222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409472000).

819222120 is an abundant number, since it is smaller than the sum of its proper divisors (1999721880).

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

819222120 is a wasteful number, since it uses less digits than its factorization.

819222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24520 (or 24510 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 819222120 is about 28622.0565298862. The cubic root of 819222120 is about 935.6940979326.

The spelling of 819222120 in words is "eight hundred nineteen million, two hundred twenty-two thousand, one hundred twenty".