121001212112 has 80 divisors (see below), whose sum is σ = 269695595520. Its totient is φ = 52012425600.

The previous prime is 121001212099. The next prime is 121001212153. The reversal of 121001212112 is 211212100121.

121001212112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 1850537 + ... + 1914807.

It is an arithmetic number, because the mean of its divisors is an integer number (3371194944).

Almost surely, 2^121001212112 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 121001212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134847797760).

121001212112 is an abundant number, since it is smaller than the sum of its proper divisors (148694383408).

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

121001212112 is a wasteful number, since it uses less digits than its factorization.

121001212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64872 (or 64866 counting only the distinct ones).

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

Adding to 121001212112 its reverse (211212100121), we get a palindrome (332213312233).

It can be divided in two parts, 12100121 and 2112, that multiplied together give a palindrome (25555455552).

The spelling of 121001212112 in words is "one hundred twenty-one billion, one million, two hundred twelve thousand, one hundred twelve".