122112320 has 112 divisors (see below), whose sum is σ = 321064128. Its totient is φ = 43868160.

The previous prime is 122112311. The next prime is 122112349. The reversal of 122112320 is 23211221.

It is a happy number.

It is a super-2 number, since 2×122112320² = 29822837391564800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112295 and 122112304.

It is a congruent number.

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, 397607 + ... + 397913.

It is an arithmetic number, because the mean of its divisors is an integer number (2866644).

Almost surely, 2^122112320 is an apocalyptic number.

122112320 is a gapful number since it is divisible by the number (10) 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 122112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160532064).

122112320 is an abundant number, since it is smaller than the sum of its proper divisors (198951808).

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

122112320 is a wasteful number, since it uses less digits than its factorization.

122112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 122112320 is about 11050.4443349578. Note that the first 3 decimals coincide. The cubic root of 122112320 is about 496.1197248272.

Adding to 122112320 its reverse (23211221), we get a palindrome (145323541).

The spelling of 122112320 in words is "one hundred twenty-two million, one hundred twelve thousand, three hundred twenty".