122200221202220 has 96 divisors (see below), whose sum is σ = 296500429169280. Its totient is φ = 41438118758400.

The previous prime is 122200221202201. The next prime is 122200221202223. The reversal of 122200221202220 is 22202122002221.

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 = 122200221202192 and 122200221202201.

It is not an unprimeable number, because it can be changed into a prime (122200221202223) 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, 8637566 + ... + 17860794.

It is an arithmetic number, because the mean of its divisors is an integer number (3088546137180).

Almost surely, 2^{122200221202220} is an apocalyptic number.

122200221202220 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 122200221202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148250214584640).

122200221202220 is an abundant number, since it is smaller than the sum of its proper divisors (174300207967060).

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

122200221202220 is a wasteful number, since it uses less digits than its factorization.

122200221202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9224283 (or 9224281 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 122200221202220 its reverse (22202122002221), we get a palindrome (144402343204441).

The spelling of 122200221202220 in words is "one hundred twenty-two trillion, two hundred billion, two hundred twenty-one million, two hundred two thousand, two hundred twenty".