10012320321312 has 96 divisors (see below), whose sum is σ = 26679307640832. Its totient is φ = 3287049156864.

The previous prime is 10012320321307. The next prime is 10012320321329. The reversal of 10012320321312 is 21312302321001.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37216593 + ... + 37484655.

It is an arithmetic number, because the mean of its divisors is an integer number (277909454592).

Almost surely, 2^{10012320321312} is an apocalyptic number.

10012320321312 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 10012320321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13339653820416).

10012320321312 is an abundant number, since it is smaller than the sum of its proper divisors (16666987319520).

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

10012320321312 is a wasteful number, since it uses less digits than its factorization.

10012320321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273950 (or 273942 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10012320321312 its reverse (21312302321001), we get a palindrome (31324622642313).

The spelling of 10012320321312 in words is "ten trillion, twelve billion, three hundred twenty million, three hundred twenty-one thousand, three hundred twelve".