122120121011020 has 288 divisors, whose sum is σ = 312728623454016. Its totient is φ = 39582056448000.

The previous prime is 122120121011017. The next prime is 122120121011023. The reversal of 122120121011020 is 20110121021221.

It is an interprime number because it is at equal distance from previous prime (122120121011017) and next prime (122120121011023).

It is a super-2 number, since 2×122120121011020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122120121010985 and 122120121011003.

It is not an unprimeable number, because it can be changed into a prime (122120121011023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199518892 + ... + 200130028.

It is an arithmetic number, because the mean of its divisors is an integer number (1085863275882).

Almost surely, 2^{122120121011020} is an apocalyptic number.

122120121011020 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 122120121011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156364311727008).

122120121011020 is an abundant number, since it is smaller than the sum of its proper divisors (190608502442996).

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

122120121011020 is a wasteful number, since it uses less digits than its factorization.

122120121011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611321 (or 611296 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122120121011020 its reverse (20110121021221), we get a palindrome (142230242032241).

The spelling of 122120121011020 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred twenty-one million, eleven thousand, twenty".