122310120312 has 128 divisors (see below), whose sum is σ = 351050803200. Its totient is φ = 39416544000.

The previous prime is 122310120223. The next prime is 122310120367. The reversal of 122310120312 is 213021013221.

122310120312 is a `hidden beast` number, since 1 + 2 + 231 + 0 + 120 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7337187 + ... + 7353837.

It is an arithmetic number, because the mean of its divisors is an integer number (2742584400).

Almost surely, 2^122310120312 is an apocalyptic number.

122310120312 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 122310120312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175525401600).

122310120312 is an abundant number, since it is smaller than the sum of its proper divisors (228740682888).

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

122310120312 is a wasteful number, since it uses less digits than its factorization.

122310120312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17794 (or 17784 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122310120312 its reverse (213021013221), we get a palindrome (335331133533).

The spelling of 122310120312 in words is "one hundred twenty-two billion, three hundred ten million, one hundred twenty thousand, three hundred twelve".