10002022320312 has 384 divisors, whose sum is σ = 32184246144960. Its totient is φ = 2771311656960.

The previous prime is 10002022320289. The next prime is 10002022320361. The reversal of 10002022320312 is 21302322020001.

10002022320312 is a `hidden beast` number, since 10 + 0 + 0 + 2 + 0 + 22 + 320 + 312 = 666.

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

It is a congruent number.

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, 335252148 + ... + 335281980.

Almost surely, 2^{10002022320312} is an apocalyptic number.

10002022320312 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 10002022320312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16092123072480).

10002022320312 is an abundant number, since it is smaller than the sum of its proper divisors (22182223824648).

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

10002022320312 is a wasteful number, since it uses less digits than its factorization.

10002022320312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30583 (or 30576 counting only the distinct ones).

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

Adding to 10002022320312 its reverse (21302322020001), we get a palindrome (31304344340313).

The spelling of 10002022320312 in words is "ten trillion, two billion, twenty-two million, three hundred twenty thousand, three hundred twelve".