10120322222320 has 80 divisors (see below), whose sum is σ = 23853817008000. Its totient is φ = 3992541500672.

The previous prime is 10120322222303. The next prime is 10120322222321. The reversal of 10120322222320 is 2322222302101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10120322222291 and 10120322222300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120322222321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2599431 + ... + 5195929.

It is an arithmetic number, because the mean of its divisors is an integer number (298172712600).

Almost surely, 2^{10120322222320} is an apocalyptic number.

10120322222320 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 10120322222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11926908504000).

10120322222320 is an abundant number, since it is smaller than the sum of its proper divisors (13733494785680).

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

10120322222320 is a wasteful number, since it uses less digits than its factorization.

10120322222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597182 (or 2597176 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10120322222320 its reverse (2322222302101), we get a palindrome (12442544524421).

The spelling of 10120322222320 in words is "ten trillion, one hundred twenty billion, three hundred twenty-two million, two hundred twenty-two thousand, three hundred twenty".