112121112102012 has 144 divisors (see below), whose sum is σ = 317881213947360. Its totient is φ = 34157230848000.

The previous prime is 112121112102007. The next prime is 112121112102031. The reversal of 112121112102012 is 210201211121211.

It is a happy number.

It is a super-2 number, since 2×112121112102012² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28567189 + ... + 32254092.

It is an arithmetic number, because the mean of its divisors is an integer number (2207508430190).

Almost surely, 2^{112121112102012} is an apocalyptic number.

112121112102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112121112102012 is an abundant number, since it is smaller than the sum of its proper divisors (205760101845348).

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

112121112102012 is a wasteful number, since it uses less digits than its factorization.

112121112102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60821421 (or 60821400 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112121112102012 its reverse (210201211121211), we get a palindrome (322322323223223).

The spelling of 112121112102012 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred twelve million, one hundred two thousand, twelve".