122220121010020 has 384 divisors, whose sum is σ = 300095721676800. Its totient is φ = 41388748800000.

The previous prime is 122220121010003. The next prime is 122220121010047. The reversal of 122220121010020 is 20010121022221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122220121009976 and 122220121010003.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20105297341 + ... + 20105303419.

It is an arithmetic number, because the mean of its divisors is an integer number (781499275200).

Almost surely, 2^{122220121010020} is an apocalyptic number.

122220121010020 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 122220121010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150047860838400).

122220121010020 is an abundant number, since it is smaller than the sum of its proper divisors (177875600666780).

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

122220121010020 is a wasteful number, since it uses less digits than its factorization.

122220121010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7031 (or 7029 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122220121010020 its reverse (20010121022221), we get a palindrome (142230242032241).

The spelling of 122220121010020 in words is "one hundred twenty-two trillion, two hundred twenty billion, one hundred twenty-one million, ten thousand, twenty".