1022120320 has 128 divisors (see below), whose sum is σ = 2693607840. Its totient is φ = 368492544.

The previous prime is 1022120293. The next prime is 1022120321. The reversal of 1022120320 is 230212201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1022120320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022120321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 356332 + ... + 359188.

Almost surely, 2^1022120320 is an apocalyptic number.

1022120320 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 1022120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346803920).

1022120320 is an abundant number, since it is smaller than the sum of its proper divisors (1671487520).

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

1022120320 is a wasteful number, since it uses less digits than its factorization.

1022120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1022120320 is about 31970.6165095389. The cubic root of 1022120320 is about 1007.3197308142.

Adding to 1022120320 its reverse (230212201), we get a palindrome (1252332521).

The spelling of 1022120320 in words is "one billion, twenty-two million, one hundred twenty thousand, three hundred twenty".