322312130010 has 288 divisors, whose sum is σ = 958996151568. Its totient is φ = 74636052480.

The previous prime is 322312129999. The next prime is 322312130017. The reversal of 322312130010 is 10031213223.

322312130010 is a `hidden beast` number, since 322 + 31 + 2 + 1 + 300 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 57425891769 + 264886238241 = 239637^2 + 514671^2 .

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

It is not an unprimeable number, because it can be changed into a prime (322312130017) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37750462 + ... + 37758998.

Almost surely, 2^322312130010 is an apocalyptic number.

322312130010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 322312130010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479498075784).

322312130010 is an abundant number, since it is smaller than the sum of its proper divisors (636684021558).

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

322312130010 is a wasteful number, since it uses less digits than its factorization.

322312130010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8670 (or 8644 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 322312130010 its reverse (10031213223), we get a palindrome (332343343233).

The spelling of 322312130010 in words is "three hundred twenty-two billion, three hundred twelve million, one hundred thirty thousand, ten".