122442312 has 64 divisors (see below), whose sum is σ = 317952000. Its totient is φ = 39251520.

The previous prime is 122442293. The next prime is 122442391. The reversal of 122442312 is 213244221.

122442312 is nontrivially palindromic in base 5.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147643 + ... + 148469.

It is an arithmetic number, because the mean of its divisors is an integer number (4968000).

Almost surely, 2^122442312 is an apocalyptic number.

122442312 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 122442312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158976000).

122442312 is an abundant number, since it is smaller than the sum of its proper divisors (195509688).

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

122442312 is a wasteful number, since it uses less digits than its factorization.

122442312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1062 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 122442312 is about 11065.3654255067. The cubic root of 122442312 is about 496.5662216486.

Adding to 122442312 its reverse (213244221), we get a palindrome (335686533).

The spelling of 122442312 in words is "one hundred twenty-two million, four hundred forty-two thousand, three hundred twelve".