122120002100120 has 128 divisors (see below), whose sum is σ = 281991256588800. Its totient is φ = 47571100609536.

The previous prime is 122120002100111. The next prime is 122120002100143. The reversal of 122120002100120 is 21001200021221.

It is a junction number, because it is equal to n+sod(n) for n = 122120002100095 and 122120002100104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1036727867 + ... + 1036845653.

It is an arithmetic number, because the mean of its divisors is an integer number (2203056692100).

Almost surely, 2^{122120002100120} is an apocalyptic number.

122120002100120 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 122120002100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140995628294400).

122120002100120 is an abundant number, since it is smaller than the sum of its proper divisors (159871254488680).

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

122120002100120 is a wasteful number, since it uses less digits than its factorization.

122120002100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119617 (or 119613 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122120002100120 its reverse (21001200021221), we get a palindrome (143121202121341).

The spelling of 122120002100120 in words is "one hundred twenty-two trillion, one hundred twenty billion, two million, one hundred thousand, one hundred twenty".