121220211122120 has 128 divisors (see below), whose sum is σ = 300552762297600. Its totient is φ = 43634011008000.

The previous prime is 121220211122071. The next prime is 121220211122173. The reversal of 121220211122120 is 21221112022121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121220211122092 and 121220211122101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202658846 + ... + 203256114.

It is an arithmetic number, because the mean of its divisors is an integer number (2348068455450).

Almost surely, 2^{121220211122120} is an apocalyptic number.

121220211122120 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 121220211122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150276381148800).

121220211122120 is an abundant number, since it is smaller than the sum of its proper divisors (179332551175480).

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

121220211122120 is a wasteful number, since it uses less digits than its factorization.

121220211122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601959 (or 601955 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 121220211122120 its reverse (21221112022121), we get a palindrome (142441323144241).

Subtracting from 121220211122120 its reverse (21221112022121), we obtain a palindrome (99999099099999).

The spelling of 121220211122120 in words is "one hundred twenty-one trillion, two hundred twenty billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twenty".