122221211200220 has 96 divisors (see below), whose sum is σ = 282580977127680. Its totient is φ = 44034323880960.

The previous prime is 122221211200201. The next prime is 122221211200223. The reversal of 122221211200220 is 22002112122221.

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 = 122221211200192 and 122221211200201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221211200223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65783171 + ... + 67615589.

It is an arithmetic number, because the mean of its divisors is an integer number (2943551845080).

Almost surely, 2^{122221211200220} is an apocalyptic number.

122221211200220 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 122221211200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141290488563840).

122221211200220 is an abundant number, since it is smaller than the sum of its proper divisors (160359765927460).

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

122221211200220 is a wasteful number, since it uses less digits than its factorization.

122221211200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835235 (or 1835233 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122221211200220 its reverse (22002112122221), we get a palindrome (144223323322441).

The spelling of 122221211200220 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, two hundred eleven million, two hundred thousand, two hundred twenty".