122021222101200 has 720 divisors, whose sum is σ = 442953027316800. Its totient is φ = 31074411110400.

The previous prime is 122021222101157. The next prime is 122021222101223. The reversal of 122021222101200 is 2101222120221.

It is a happy number.

122021222101200 is a `hidden beast` number, since 1 + 220 + 21 + 2 + 221 + 0 + 1 + 200 = 666.

122021222101200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5178937420 + ... + 5178960980.

It is an arithmetic number, because the mean of its divisors is an integer number (615212537940).

Almost surely, 2^{122021222101200} is an apocalyptic number.

122021222101200 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 122021222101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221476513658400).

122021222101200 is an abundant number, since it is smaller than the sum of its proper divisors (320931805215600).

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

122021222101200 is a wasteful number, since it uses less digits than its factorization.

122021222101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24340 (or 24326 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122021222101200 its reverse (2101222120221), we get a palindrome (124122444221421).

The spelling of 122021222101200 in words is "one hundred twenty-two trillion, twenty-one billion, two hundred twenty-two million, one hundred one thousand, two hundred".