122122311333220 has 192 divisors, whose sum is σ = 294724396302336. Its totient is φ = 42071636625920.

The previous prime is 122122311333199. The next prime is 122122311333263. The reversal of 122122311333220 is 22333113221221.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2965336749 + ... + 2965377931.

It is an arithmetic number, because the mean of its divisors is an integer number (1535022897408).

Almost surely, 2^{122122311333220} is an apocalyptic number.

122122311333220 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 122122311333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147362198151168).

122122311333220 is an abundant number, since it is smaller than the sum of its proper divisors (172602084969116).

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

122122311333220 is a wasteful number, since it uses less digits than its factorization.

122122311333220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46810 (or 46808 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 122122311333220 its reverse (22333113221221), we get a palindrome (144455424554441).

The spelling of 122122311333220 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, three hundred eleven million, three hundred thirty-three thousand, two hundred twenty".