10221330312 has 192 divisors, whose sum is σ = 28899936000. Its totient is φ = 3261772800.

The previous prime is 10221330247. The next prime is 10221330313. The reversal of 10221330312 is 21303312201.

10221330312 is a `hidden beast` number, since 1 + 0 + 2 + 21 + 330 + 312 = 666.

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 (10221330313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30879987 + ... + 30880317.

It is an arithmetic number, because the mean of its divisors is an integer number (150520500).

Almost surely, 2^10221330312 is an apocalyptic number.

10221330312 is a gapful number since it is divisible by the number (12) 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 10221330312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14449968000).

10221330312 is an abundant number, since it is smaller than the sum of its proper divisors (18678605688).

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

10221330312 is a wasteful number, since it uses less digits than its factorization.

10221330312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 565 counting only the distinct ones).

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

Adding to 10221330312 its reverse (21303312201), we get a palindrome (31524642513).

The spelling of 10221330312 in words is "ten billion, two hundred twenty-one million, three hundred thirty thousand, three hundred twelve".