10122322320 has 480 divisors, whose sum is σ = 38507249664. Its totient is φ = 2361676800.

The previous prime is 10122322303. The next prime is 10122322369. The reversal of 10122322320 is 2322322101.

10122322320 is a `hidden beast` number, since 1 + 0 + 1 + 22 + 322 + 320 = 666.

It is a super-2 number, since 2×10122322320² (a number of 21 digits) contains 22 as substring.

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 = 10122322293 and 10122322302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26428849 + ... + 26429231.

Almost surely, 2^10122322320 is an apocalyptic number.

10122322320 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 10122322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19253624832).

10122322320 is an abundant number, since it is smaller than the sum of its proper divisors (28384927344).

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

10122322320 is a wasteful number, since it uses less digits than its factorization.

10122322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 522 counting only the distinct ones).

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

Adding to 10122322320 its reverse (2322322101), we get a palindrome (12444644421).

The spelling of 10122322320 in words is "ten billion, one hundred twenty-two million, three hundred twenty-two thousand, three hundred twenty".