122122111101200 has 480 divisors, whose sum is σ = 351428971106304. Its totient is φ = 39874330552320.

The previous prime is 122122111101187. The next prime is 122122111101203. The reversal of 122122111101200 is 2101111221221.

It is not an unprimeable number, because it can be changed into a prime (122122111101203) 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 95 ways as a sum of consecutive naturals, for example, 16246119842 + ... + 16246127358.

Almost surely, 2^{122122111101200} is an apocalyptic number.

122122111101200 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 122122111101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175714485553152).

122122111101200 is an abundant number, since it is smaller than the sum of its proper divisors (229306860005104).

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

122122111101200 is a wasteful number, since it uses less digits than its factorization.

122122111101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8639 (or 8628 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 122122111101200 its reverse (2101111221221), we get a palindrome (124223222322421).

The spelling of 122122111101200 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred eleven million, one hundred one thousand, two hundred".