121020112122112 has 144 divisors (see below), whose sum is σ = 277023504123520. Its totient is φ = 51688028012544.

The previous prime is 121020112122053. The next prime is 121020112122113. The reversal of 121020112122112 is 211221211020121.

It is a happy number.

It is a super-3 number, since 3×121020112122112³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121020112122112.

It is not an unprimeable number, because it can be changed into a prime (121020112122113) by changing a digit.

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, 4020987448 + ... + 4021017544.

Almost surely, 2^{121020112122112} 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 121020112122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138511752061760).

121020112122112 is an abundant number, since it is smaller than the sum of its proper divisors (156003392001408).

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

121020112122112 is an equidigital number, since it uses as much as digits as its factorization.

121020112122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37736 (or 37722 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 121020112122112 its reverse (211221211020121), we get a palindrome (332241323142233).

The spelling of 121020112122112 in words is "one hundred twenty-one trillion, twenty billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twelve".