121333120210120 has 128 divisors (see below), whose sum is σ = 336036075782400. Its totient is φ = 38395742155776.

The previous prime is 121333120210069. The next prime is 121333120210121. The reversal of 121333120210120 is 21012021333121.

It is a junction number, because it is equal to n+sod(n) for n = 121333120210091 and 121333120210100.

It is not an unprimeable number, because it can be changed into a prime (121333120210121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31626526 + ... + 35254834.

It is an arithmetic number, because the mean of its divisors is an integer number (2625281842050).

Almost surely, 2^{121333120210120} is an apocalyptic number.

121333120210120 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 121333120210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168018037891200).

121333120210120 is an abundant number, since it is smaller than the sum of its proper divisors (214702955572280).

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

121333120210120 is a wasteful number, since it uses less digits than its factorization.

121333120210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637527 (or 3637523 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 121333120210120 its reverse (21012021333121), we get a palindrome (142345141543241).

The spelling of 121333120210120 in words is "one hundred twenty-one trillion, three hundred thirty-three billion, one hundred twenty million, two hundred ten thousand, one hundred twenty".