122001221000120 has 96 divisors (see below), whose sum is σ = 344829897468000. Its totient is φ = 38026354586880.

The previous prime is 122001221000083. The next prime is 122001221000177. The reversal of 122001221000120 is 21000122100221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 122001221000095 and 122001221000104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1800456395 + ... + 1800524154.

It is an arithmetic number, because the mean of its divisors is an integer number (3591978098625).

Almost surely, 2^{122001221000120} is an apocalyptic number.

122001221000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122001221000120 is an abundant number, since it is smaller than the sum of its proper divisors (222828676467880).

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

122001221000120 is a wasteful number, since it uses less digits than its factorization.

122001221000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600980589 (or 3600980574 counting only the distinct ones).

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

Adding to 122001221000120 its reverse (21000122100221), we get a palindrome (143001343100341).

The spelling of 122001221000120 in words is "one hundred twenty-two trillion, one billion, two hundred twenty-one million, one hundred twenty", and thus it is an aban number.