120220122122200 has 192 divisors, whose sum is σ = 291974740992000. Its totient is φ = 45948365760000.

The previous prime is 120220122122189. The next prime is 120220122122201. The reversal of 120220122122200 is 2221221022021.

120220122122200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120220122122201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25304169825 + ... + 25304174575.

It is an arithmetic number, because the mean of its divisors is an integer number (1520701776000).

Almost surely, 2^{120220122122200} is an apocalyptic number.

120220122122200 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 120220122122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145987370496000).

120220122122200 is an abundant number, since it is smaller than the sum of its proper divisors (171754618869800).

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

120220122122200 is a wasteful number, since it uses less digits than its factorization.

120220122122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9482 (or 9473 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 120220122122200 its reverse (2221221022021), we get a palindrome (122441343144221).

The spelling of 120220122122200 in words is "one hundred twenty trillion, two hundred twenty billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred".