122112121211200 has 168 divisors, whose sum is σ = 319108162538304. Its totient is φ = 45832731648000.

The previous prime is 122112121211189. The next prime is 122112121211207. The reversal of 122112121211200 is 2112121211221.

It is a happy number.

It is a super-2 number, since 2×122112121211200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112121211207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2221605 + ... + 15784795.

Almost surely, 2^{122112121211200} is an apocalyptic number.

122112121211200 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 122112121211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159554081269152).

122112121211200 is an abundant number, since it is smaller than the sum of its proper divisors (196996041327104).

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

122112121211200 is a wasteful number, since it uses less digits than its factorization.

122112121211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13563561 (or 13563546 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122112121211200 its reverse (2112121211221), we get a palindrome (124224242422421).

The spelling of 122112121211200 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred twenty-one million, two hundred eleven thousand, two hundred".