122112101200 has 60 divisors (see below), whose sum is σ = 297087999040. Its totient is φ = 48226538880.

The previous prime is 122112101191. The next prime is 122112101203. The reversal of 122112101200 is 2101211221.

It is a super-2 number, since 2×122112101200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112101203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1900554 + ... + 1963753.

Almost surely, 2^122112101200 is an apocalyptic number.

122112101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112101200 is an abundant number, since it is smaller than the sum of its proper divisors (174975897840).

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

122112101200 is a wasteful number, since it uses less digits than its factorization.

122112101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864404 (or 3864393 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122112101200 its reverse (2101211221), we get a palindrome (124213312421).

The spelling of 122112101200 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred one thousand, two hundred".