122120222122200 has 192 divisors, whose sum is σ = 379204587388800. Its totient is φ = 32511080448000.

The previous prime is 122120222122187. The next prime is 122120222122247. The reversal of 122120222122200 is 2221222021221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 888446679 + ... + 888584121.

It is an arithmetic number, because the mean of its divisors is an integer number (1975023892650).

Almost surely, 2^{122120222122200} is an apocalyptic number.

122120222122200 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 122120222122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189602293694400).

122120222122200 is an abundant number, since it is smaller than the sum of its proper divisors (257084365266600).

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

122120222122200 is a wasteful number, since it uses less digits than its factorization.

122120222122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139922 (or 139913 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 122120222122200 its reverse (2221222021221), we get a palindrome (124341444143421).

The spelling of 122120222122200 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred".