122112011200 has 42 divisors (see below), whose sum is σ = 300471871496. Its totient is φ = 48844803840.

The previous prime is 122112011179. The next prime is 122112011201. The reversal of 122112011200 is 2110211221.

122112011200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122112011200² (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 (122112011201) 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 5 ways as a sum of consecutive naturals, for example, 38158404 + ... + 38161603.

Almost surely, 2^122112011200 is an apocalyptic number.

122112011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112011200 is an abundant number, since it is smaller than the sum of its proper divisors (178359860296).

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

122112011200 is an equidigital number, since it uses as much as digits as its factorization.

122112011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76320029 (or 76320014 counting only the distinct ones).

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

Adding to 122112011200 its reverse (2110211221), we get a palindrome (124222222421).

The spelling of 122112011200 in words is "one hundred twenty-two billion, one hundred twelve million, eleven thousand, two hundred".