122322312 has 192 divisors, whose sum is σ = 400982400. Its totient is φ = 34214400.

The previous prime is 122322301. The next prime is 122322331. The reversal of 122322312 is 213223221.

122322312 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1211062 + ... + 1211162.

It is an arithmetic number, because the mean of its divisors is an integer number (2088450).

Almost surely, 2^122322312 is an apocalyptic number.

122322312 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 122322312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200).

122322312 is an abundant number, since it is smaller than the sum of its proper divisors (278660088).

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

122322312 is a wasteful number, since it uses less digits than its factorization.

122322312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 122322312 is about 11059.9417719986. The cubic root of 122322312 is about 496.4039481592.

Adding to 122322312 its reverse (213223221), we get a palindrome (335545533).

Subtracting 122322312 from its reverse (213223221), we obtain a palindrome (90900909).

The spelling of 122322312 in words is "one hundred twenty-two million, three hundred twenty-two thousand, three hundred twelve".