121011212000120 has 256 divisors, whose sum is σ = 297667989158400. Its totient is φ = 44006730762240.

The previous prime is 121011212000117. The next prime is 121011212000149. The reversal of 121011212000120 is 21000212110121.

It is a junction number, because it is equal to n+sod(n) for n = 121011212000095 and 121011212000104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23001558290 + ... + 23001563550.

It is an arithmetic number, because the mean of its divisors is an integer number (1162765582650).

Almost surely, 2^{121011212000120} is an apocalyptic number.

121011212000120 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 121011212000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148833994579200).

121011212000120 is an abundant number, since it is smaller than the sum of its proper divisors (176656777158280).

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

121011212000120 is a wasteful number, since it uses less digits than its factorization.

121011212000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6910 (or 6906 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121011212000120 its reverse (21000212110121), we get a palindrome (142011424110241).

The spelling of 121011212000120 in words is "one hundred twenty-one trillion, eleven billion, two hundred twelve million, one hundred twenty", and thus it is an aban number.