122231020330020 has 288 divisors, whose sum is σ = 413120403311616. Its totient is φ = 26904434860800.

The previous prime is 122231020330019. The next prime is 122231020330039. The reversal of 122231020330020 is 20033020132221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2166915 + ... + 15784725.

It is an arithmetic number, because the mean of its divisors is an integer number (1434445844832).

Almost surely, 2^{122231020330020} is an apocalyptic number.

122231020330020 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 122231020330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206560201655808).

122231020330020 is an abundant number, since it is smaller than the sum of its proper divisors (290889382981596).

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

122231020330020 is a wasteful number, since it uses less digits than its factorization.

122231020330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13617951 (or 13617942 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 122231020330020 its reverse (20033020132221), we get a palindrome (142264040462241).

The spelling of 122231020330020 in words is "one hundred twenty-two trillion, two hundred thirty-one billion, twenty million, three hundred thirty thousand, twenty".