10122130312 has 64 divisors (see below), whose sum is σ = 22352688000. Its totient is φ = 4294987200.

The previous prime is 10122130301. The next prime is 10122130313. The reversal of 10122130312 is 21303122101.

10122130312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10122130313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258883 + ... + 295405.

It is an arithmetic number, because the mean of its divisors is an integer number (349260750).

Almost surely, 2^10122130312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11176344000).

10122130312 is an abundant number, since it is smaller than the sum of its proper divisors (12230557688).

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

10122130312 is a wasteful number, since it uses less digits than its factorization.

10122130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36651 (or 36633 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10122130312 its reverse (21303122101), we get a palindrome (31425252413).

The spelling of 10122130312 in words is "ten billion, one hundred twenty-two million, one hundred thirty thousand, three hundred twelve".