121001002212112 has 160 divisors (see below), whose sum is σ = 261430511126400. Its totient is φ = 53793295564800.

The previous prime is 121001002212091. The next prime is 121001002212161. The reversal of 121001002212112 is 211212200100121.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3006888312 + ... + 3006928552.

It is an arithmetic number, because the mean of its divisors is an integer number (1633940694540).

Almost surely, 2^{121001002212112} 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 121001002212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130715255563200).

121001002212112 is an abundant number, since it is smaller than the sum of its proper divisors (140429508914288).

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

121001002212112 is a wasteful number, since it uses less digits than its factorization.

121001002212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42425 (or 42419 counting only the distinct ones).

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

Adding to 121001002212112 its reverse (211212200100121), we get a palindrome (332213202312233).

The spelling of 121001002212112 in words is "one hundred twenty-one trillion, one billion, two million, two hundred twelve thousand, one hundred twelve".