121201002112120 has 128 divisors (see below), whose sum is σ = 312169369881600. Its totient is φ = 41486686396416.

The previous prime is 121201002112067. The next prime is 121201002112129. The reversal of 121201002112120 is 21211200102121.

It is a super-3 number, since 3×121201002112120³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121201002112094 and 121201002112103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121201002112129) 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, 3560634061 + ... + 3560668099.

It is an arithmetic number, because the mean of its divisors is an integer number (2438823202200).

Almost surely, 2^{121201002112120} is an apocalyptic number.

121201002112120 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 121201002112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156084684940800).

121201002112120 is an abundant number, since it is smaller than the sum of its proper divisors (190968367769480).

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

121201002112120 is a wasteful number, since it uses less digits than its factorization.

121201002112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54477 (or 54473 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121201002112120 its reverse (21211200102121), we get a palindrome (142412202214241).

The spelling of 121201002112120 in words is "one hundred twenty-one trillion, two hundred one billion, two million, one hundred twelve thousand, one hundred twenty".