121200020202112 has 128 divisors (see below), whose sum is σ = 256829425488000. Its totient is φ = 56851772719104.

The previous prime is 121200020202073. The next prime is 121200020202119. The reversal of 121200020202112 is 211202020002121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (121200020202119) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36893964 + ... + 40044532.

It is an arithmetic number, because the mean of its divisors is an integer number (2006479886625).

Almost surely, 2^{121200020202112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121200020202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128414712744000).

121200020202112 is an abundant number, since it is smaller than the sum of its proper divisors (135629405285888).

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

121200020202112 is a wasteful number, since it uses less digits than its factorization.

121200020202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150858 (or 3150846 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121200020202112 its reverse (211202020002121), we get a palindrome (332402040204233).

The spelling of 121200020202112 in words is "one hundred twenty-one trillion, two hundred billion, twenty million, two hundred two thousand, one hundred twelve".