122122010120120 has 128 divisors (see below), whose sum is σ = 278568605952000. Its totient is φ = 48177250176000.

The previous prime is 122122010120081. The next prime is 122122010120129. The reversal of 122122010120120 is 21021010221221.

122122010120120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122010120129) 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, 2243089619 + ... + 2243144061.

It is an arithmetic number, because the mean of its divisors is an integer number (2176317234000).

Almost surely, 2^{122122010120120} is an apocalyptic number.

122122010120120 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 122122010120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139284302976000).

122122010120120 is an abundant number, since it is smaller than the sum of its proper divisors (156446595831880).

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

122122010120120 is a wasteful number, since it uses less digits than its factorization.

122122010120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56133 (or 56129 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122122010120120 its reverse (21021010221221), we get a palindrome (143143020341341).

The spelling of 122122010120120 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, ten million, one hundred twenty thousand, one hundred twenty".