122120221002120 has 192 divisors, whose sum is σ = 432978457242240. Its totient is φ = 29604439526400.

The previous prime is 122120221002083. The next prime is 122120221002137. The reversal of 122120221002120 is 21200122021221.

It is a happy number.

122120221002120 is a `hidden beast` number, since 1 + 221 + 20 + 2 + 210 + 0 + 212 + 0 = 666.

122120221002120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122120221002093 and 122120221002102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300721452 + ... + 301127268.

It is an arithmetic number, because the mean of its divisors is an integer number (2255096131470).

Almost surely, 2^{122120221002120} is an apocalyptic number.

122120221002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120221002120 is an abundant number, since it is smaller than the sum of its proper divisors (310858236240120).

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

122120221002120 is a wasteful number, since it uses less digits than its factorization.

122120221002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481836 (or 481829 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122120221002120 its reverse (21200122021221), we get a palindrome (143320343023341).

The spelling of 122120221002120 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred twenty-one million, two thousand, one hundred twenty".