122112211210220 has 192 divisors, whose sum is σ = 338594935311360. Its totient is φ = 35813987328000.

The previous prime is 122112211210219. The next prime is 122112211210243. The reversal of 122112211210220 is 22012112211221.

It is a super-2 number, since 2×122112211210220² (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 = 122112211210192 and 122112211210201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116003216 + ... + 117051144.

It is an arithmetic number, because the mean of its divisors is an integer number (1763515288080).

Almost surely, 2^{122112211210220} is an apocalyptic number.

122112211210220 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 122112211210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169297467655680).

122112211210220 is an abundant number, since it is smaller than the sum of its proper divisors (216482724101140).

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

122112211210220 is a wasteful number, since it uses less digits than its factorization.

122112211210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052424 (or 1052422 counting only the distinct ones).

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

Adding to 122112211210220 its reverse (22012112211221), we get a palindrome (144124323421441).

The spelling of 122112211210220 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred eleven million, two hundred ten thousand, two hundred twenty".