10322122320 has 240 divisors, whose sum is σ = 35441941392. Its totient is φ = 2691440640.

The previous prime is 10322122159. The next prime is 10322122387. The reversal of 10322122320 is 2322122301.

10322122320 is a `hidden beast` number, since 1 + 0 + 322 + 1 + 22 + 320 = 666.

10322122320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 20684304 + 10301438016 = 4548^2 + 101496^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 10322122293 and 10322122302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8651644 + ... + 8652836.

Almost surely, 2^10322122320 is an apocalyptic number.

10322122320 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 10322122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17720970696).

10322122320 is an abundant number, since it is smaller than the sum of its proper divisors (25119819072).

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

10322122320 is a wasteful number, since it uses less digits than its factorization.

10322122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10322122320 its reverse (2322122301), we get a palindrome (12644244621).

The spelling of 10322122320 in words is "ten billion, three hundred twenty-two million, one hundred twenty-two thousand, three hundred twenty".