122220200011122 has 192 divisors, whose sum is σ = 303650507946240. Its totient is φ = 36647952574464.

The previous prime is 122220200011111. The next prime is 122220200011127. The reversal of 122220200011122 is 221110002022221.

It is a happy number.

122220200011122 is a `hidden beast` number, since 122 + 220 + 200 + 0 + 1 + 1 + 122 = 666.

It is a super-2 number, since 2×122220200011122² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 122220200011095 and 122220200011104.

It is not an unprimeable number, because it can be changed into a prime (122220200011127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244694028 + ... + 245193000.

It is an arithmetic number, because the mean of its divisors is an integer number (1581513062220).

Almost surely, 2^{122220200011122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122220200011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151825253973120).

122220200011122 is an abundant number, since it is smaller than the sum of its proper divisors (181430307935118).

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

122220200011122 is a wasteful number, since it uses less digits than its factorization.

122220200011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500319 (or 500307 counting only the distinct ones).

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

Adding to 122220200011122 its reverse (221110002022221), we get a palindrome (343330202033343).

The spelling of 122220200011122 in words is "one hundred twenty-two trillion, two hundred twenty billion, two hundred million, eleven thousand, one hundred twenty-two".