230122131122312 has 128 divisors (see below), whose sum is σ = 517510013731200. Its totient is φ = 94548880588800.

The previous prime is 230122131122311. The next prime is 230122131122339. The reversal of 230122131122312 is 213221131221032.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (230122131122311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10713362 + ... + 23979582.

It is an arithmetic number, because the mean of its divisors is an integer number (4043046982275).

Almost surely, 2^{230122131122312} is an apocalyptic number.

230122131122312 is a gapful number since it is divisible by the number (22) 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 230122131122312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258755006865600).

230122131122312 is an abundant number, since it is smaller than the sum of its proper divisors (287387882608888).

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

230122131122312 is a wasteful number, since it uses less digits than its factorization.

230122131122312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13266567 (or 13266563 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 230122131122312 its reverse (213221131221032), we get a palindrome (443343262343344).

The spelling of 230122131122312 in words is "two hundred thirty trillion, one hundred twenty-two billion, one hundred thirty-one million, one hundred twenty-two thousand, three hundred twelve".