121222202202112 has 192 divisors, whose sum is σ = 269520603206400. Its totient is φ = 54039024599040.

The previous prime is 121222202202097. The next prime is 121222202202151. The reversal of 121222202202112 is 211202202222121.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3079265053 + ... + 3079304419.

It is an arithmetic number, because the mean of its divisors is an integer number (1403753141700).

Almost surely, 2^{121222202202112} 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 121222202202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134760301603200).

121222202202112 is an abundant number, since it is smaller than the sum of its proper divisors (148298401004288).

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

121222202202112 is a wasteful number, since it uses less digits than its factorization.

121222202202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42032 (or 42012 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 121222202202112 its reverse (211202202222121), we get a palindrome (332424404424233).

The spelling of 121222202202112 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, two hundred two million, two hundred two thousand, one hundred twelve".