122212320 has 144 divisors (see below), whose sum is σ = 409410288. Its totient is φ = 30638080.

The previous prime is 122212301. The next prime is 122212327. The reversal of 122212320 is 23212221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122212320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122212327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138280 + ... + 139160.

It is an arithmetic number, because the mean of its divisors is an integer number (2843127).

Almost surely, 2^122212320 is an apocalyptic number.

122212320 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 122212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204705144).

122212320 is an abundant number, since it is smaller than the sum of its proper divisors (287197968).

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

122212320 is a wasteful number, since it uses less digits than its factorization.

122212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 122212320 is about 11054.9681139296. The cubic root of 122212320 is about 496.2551150317.

Adding to 122212320 its reverse (23212221), we get a palindrome (145424541).

Subtracting from 122212320 its reverse (23212221), we obtain a palindrome (99000099).

It can be divided in two parts, 12221 and 2320, that added together give a palindrome (14541).

The spelling of 122212320 in words is "one hundred twenty-two million, two hundred twelve thousand, three hundred twenty".