121120210120 has 256 divisors, whose sum is σ = 343033367040. Its totient is φ = 37471223808.

The previous prime is 121120210111. The next prime is 121120210151. The reversal of 121120210120 is 21012021121.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 121120210120.

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 63 ways as a sum of consecutive naturals, for example, 29303574 + ... + 29307706.

It is an arithmetic number, because the mean of its divisors is an integer number (1339974090).

Almost surely, 2^121120210120 is an apocalyptic number.

121120210120 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 121120210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171516683520).

121120210120 is an abundant number, since it is smaller than the sum of its proper divisors (221913156920).

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

121120210120 is a wasteful number, since it uses less digits than its factorization.

121120210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4344 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121120210120 its reverse (21012021121), we get a palindrome (142132231241).

The spelling of 121120210120 in words is "one hundred twenty-one billion, one hundred twenty million, two hundred ten thousand, one hundred twenty".