122112312200 has 96 divisors (see below), whose sum is σ = 302948392800. Its totient is φ = 45640143360.

The previous prime is 122112312199. The next prime is 122112312227. The reversal of 122112312200 is 2213211221.

It is a super-2 number, since 2×122112312200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57299 + ... + 497501.

It is an arithmetic number, because the mean of its divisors is an integer number (3155712425).

Almost surely, 2^122112312200 is an apocalyptic number.

122112312200 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 122112312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151474196400).

122112312200 is an abundant number, since it is smaller than the sum of its proper divisors (180836080600).

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

122112312200 is a wasteful number, since it uses less digits than its factorization.

122112312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440311 (or 440302 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 122112312200 its reverse (2213211221), we get a palindrome (124325523421).

The spelling of 122112312200 in words is "one hundred twenty-two billion, one hundred twelve million, three hundred twelve thousand, two hundred".