122314116 has 48 divisors (see below), whose sum is σ = 308641536. Its totient is φ = 37553664.

The previous prime is 122314103. The next prime is 122314117. The reversal of 122314116 is 611413221.

It is a super-3 number, since 3×122314116³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 122314092 and 122314101.

It is not an unprimeable number, because it can be changed into a prime (122314117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3210 + ... + 15966.

It is an arithmetic number, because the mean of its divisors is an integer number (6430032).

Almost surely, 2^122314116 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 122314116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154320768).

122314116 is an abundant number, since it is smaller than the sum of its proper divisors (186327420).

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

122314116 is a wasteful number, since it uses less digits than its factorization.

122314116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12828 (or 12826 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 122314116 is about 11059.5712394288. The cubic root of 122314116 is about 496.3928610087.

Adding to 122314116 its reverse (611413221), we get a palindrome (733727337).

The spelling of 122314116 in words is "one hundred twenty-two million, three hundred fourteen thousand, one hundred sixteen".