10012322320 has 160 divisors (see below), whose sum is σ = 31255499520. Its totient is φ = 2880645120.

The previous prime is 10012322311. The next prime is 10012322347. The reversal of 10012322320 is 2322321001.

It is a super-3 number, since 3×10012322320³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10012322294 and 10012322303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17566 + ... + 142594.

It is an arithmetic number, because the mean of its divisors is an integer number (195346872).

Almost surely, 2^10012322320 is an apocalyptic number.

10012322320 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 10012322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15627749760).

10012322320 is an abundant number, since it is smaller than the sum of its proper divisors (21243177200).

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

10012322320 is a wasteful number, since it uses less digits than its factorization.

10012322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125073 (or 125067 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10012322320 its reverse (2322321001), we get a palindrome (12334643321).

The spelling of 10012322320 in words is "ten billion, twelve million, three hundred twenty-two thousand, three hundred twenty".