121020221222120 has 128 divisors (see below), whose sum is σ = 312978000384000. Its totient is φ = 41651953332480.

The previous prime is 121020221222111. The next prime is 121020221222221. The reversal of 121020221222120 is 21222122020121.

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 = 121020221222092 and 121020221222101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2077601 + ... + 15695759.

It is an arithmetic number, because the mean of its divisors is an integer number (2445140628000).

Almost surely, 2^{121020221222120} is an apocalyptic number.

121020221222120 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 121020221222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156489000192000).

121020221222120 is an abundant number, since it is smaller than the sum of its proper divisors (191957779161880).

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

121020221222120 is a wasteful number, since it uses less digits than its factorization.

121020221222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13619263 (or 13619259 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 121020221222120 its reverse (21222122020121), we get a palindrome (142242343242241).

The spelling of 121020221222120 in words is "one hundred twenty-one trillion, twenty billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty".