122301333220 has 72 divisors (see below), whose sum is σ = 284894379000. Its totient is φ = 44065105920.

The previous prime is 122301333191. The next prime is 122301333223. The reversal of 122301333220 is 22333103221.

It can be written as a sum of positive squares in 4 ways, for example, as 2437199424 + 119864133796 = 49368^2 + 346214^2 .

It is a super-2 number, since 2×122301333220² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 122301333191 and 122301333200.

It is not an unprimeable number, because it can be changed into a prime (122301333223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31956 + ... + 495604.

It is an arithmetic number, because the mean of its divisors is an integer number (3956866375).

Almost surely, 2^122301333220 is an apocalyptic number.

122301333220 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 122301333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142447189500).

122301333220 is an abundant number, since it is smaller than the sum of its proper divisors (162593045780).

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

122301333220 is a wasteful number, since it uses less digits than its factorization.

122301333220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463789 (or 463776 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 122301333220 its reverse (22333103221), we get a palindrome (144634436441).

The spelling of 122301333220 in words is "one hundred twenty-two billion, three hundred one million, three hundred thirty-three thousand, two hundred twenty".