121112111002112 has 80 divisors (see below), whose sum is σ = 250340998188600. Its totient is φ = 58465832140800.

The previous prime is 121112111002111. The next prime is 121112111002117. The reversal of 121112111002112 is 211200111211121.

It can be written as a sum of positive squares in 4 ways, for example, as 94123836641536 + 26988274360576 = 9701744^2 + 5195024^2 .

It is not an unprimeable number, because it can be changed into a prime (121112111002111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 467122112 + ... + 467381312.

Almost surely, 2^{121112111002112} is an apocalyptic number.

It is an amenable number.

121112111002112 is an abundant number, since it is smaller than the sum of its proper divisors (129228887186488).

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

121112111002112 is an equidigital number, since it uses as much as digits as its factorization.

121112111002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290717 (or 290701 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 121112111002112 its reverse (211200111211121), we get a palindrome (332312222213233).

The spelling of 121112111002112 in words is "one hundred twenty-one trillion, one hundred twelve billion, one hundred eleven million, two thousand, one hundred twelve".