122122220002200 has 576 divisors, whose sum is σ = 459915879571200. Its totient is φ = 28779396940800.

The previous prime is 122122220002199. The next prime is 122122220002217. The reversal of 122122220002200 is 2200022221221.

122122220002200 is a `hidden beast` number, since 1 + 2 + 21 + 222 + 200 + 0 + 220 + 0 = 666.

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, 822635581 + ... + 822784019.

It is an arithmetic number, because the mean of its divisors is an integer number (798465068700).

Almost surely, 2^{122122220002200} is an apocalyptic number.

122122220002200 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 122122220002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229957939785600).

122122220002200 is an abundant number, since it is smaller than the sum of its proper divisors (337793659569000).

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

122122220002200 is a wasteful number, since it uses less digits than its factorization.

122122220002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149632 (or 149620 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122122220002200 its reverse (2200022221221), we get a palindrome (124322242223421).

The spelling of 122122220002200 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, two hundred twenty million, two thousand, two hundred".