122121200120020 has 96 divisors (see below), whose sum is σ = 272609072709120. Its totient is φ = 45794121369600.

The previous prime is 122121200119999. The next prime is 122121200120021. The reversal of 122121200120020 is 20021002121221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122121200119976 and 122121200120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121200120021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425236917 + ... + 425524003.

It is an arithmetic number, because the mean of its divisors is an integer number (2839677840720).

Almost surely, 2^{122121200120020} is an apocalyptic number.

122121200120020 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 122121200120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136304536354560).

122121200120020 is an abundant number, since it is smaller than the sum of its proper divisors (150487872589100).

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

122121200120020 is a wasteful number, since it uses less digits than its factorization.

122121200120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292033 (or 292031 counting only the distinct ones).

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

Adding to 122121200120020 its reverse (20021002121221), we get a palindrome (142142202241241).

The spelling of 122121200120020 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred million, one hundred twenty thousand, twenty".