2012112102112 has 72 divisors (see below), whose sum is σ = 4672999038960. Its totient is φ = 850188165120.

The previous prime is 2012112102103. The next prime is 2012112102151. The reversal of 2012112102112 is 2112012112102.

It is a super-2 number, since 2×2012112102112² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8925537 + ... + 9148192.

It is an arithmetic number, because the mean of its divisors is an integer number (64902764430).

Almost surely, 2^{2012112102112} is an apocalyptic number.

It is an amenable number.

2012112102112 is an abundant number, since it is smaller than the sum of its proper divisors (2660886936848).

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

2012112102112 is a wasteful number, since it uses less digits than its factorization.

2012112102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18073824 (or 18073809 counting only the distinct ones).

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

Adding to 2012112102112 its reverse (2112012112102), we get a palindrome (4124124214214).

The spelling of 2012112102112 in words is "two trillion, twelve billion, one hundred twelve million, one hundred two thousand, one hundred twelve".