122231201220 has 144 divisors (see below), whose sum is σ = 392866634160. Its totient is φ = 30655070208.

The previous prime is 122231201167. The next prime is 122231201227. The reversal of 122231201220 is 22102132221.

122231201220 is a `hidden beast` number, since 12 + 2 + 231 + 201 + 220 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3110962176 + 119120239044 = 55776^2 + 345138^2 .

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 = 122231201193 and 122231201202.

It is not an unprimeable number, because it can be changed into a prime (122231201227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4358764 + ... + 4386716.

It is an arithmetic number, because the mean of its divisors is an integer number (2728240515).

Almost surely, 2^122231201220 is an apocalyptic number.

122231201220 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 122231201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196433317080).

122231201220 is an abundant number, since it is smaller than the sum of its proper divisors (270635432940).

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

122231201220 is a wasteful number, since it uses less digits than its factorization.

122231201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29414 (or 29409 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122231201220 its reverse (22102132221), we get a palindrome (144333333441).

The spelling of 122231201220 in words is "one hundred twenty-two billion, two hundred thirty-one million, two hundred one thousand, two hundred twenty".