1005223022320 has 160 divisors (see below), whose sum is σ = 2559211200000. Its totient is φ = 364161776640.

The previous prime is 1005223022303. The next prime is 1005223022329. The reversal of 1005223022320 is 232203225001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1005223022291 and 1005223022300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005223022329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478904631 + ... + 478906729.

It is an arithmetic number, because the mean of its divisors is an integer number (15995070000).

Almost surely, 2^{1005223022320} is an apocalyptic number.

1005223022320 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 1005223022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279605600000).

1005223022320 is an abundant number, since it is smaller than the sum of its proper divisors (1553988177680).

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

1005223022320 is a wasteful number, since it uses less digits than its factorization.

1005223022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3911 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 1005223022320 its reverse (232203225001), we get a palindrome (1237426247321).

The spelling of 1005223022320 in words is "one trillion, five billion, two hundred twenty-three million, twenty-two thousand, three hundred twenty".