122212101121220 has 384 divisors, whose sum is σ = 299082876567552. Its totient is φ = 41531586969600.

The previous prime is 122212101121171. The next prime is 122212101121259. The reversal of 122212101121220 is 22121101212221.

It is a super-2 number, since 2×122212101121220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122212101121192 and 122212101121201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42185742812 + ... + 42185745708.

It is an arithmetic number, because the mean of its divisors is an integer number (778861657728).

Almost surely, 2^{122212101121220} is an apocalyptic number.

122212101121220 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 122212101121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149541438283776).

122212101121220 is an abundant number, since it is smaller than the sum of its proper divisors (176870775446332).

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

122212101121220 is a wasteful number, since it uses less digits than its factorization.

122212101121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4571 (or 4569 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122212101121220 its reverse (22121101212221), we get a palindrome (144333202333441).

The spelling of 122212101121220 in words is "one hundred twenty-two trillion, two hundred twelve billion, one hundred one million, one hundred twenty-one thousand, two hundred twenty".