2112036302112 has 144 divisors (see below), whose sum is σ = 6452389583136. Its totient is φ = 602363238400.

The previous prime is 2112036302053. The next prime is 2112036302113.

2112036302112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2112036302113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5150214 + ... + 5545157.

It is an arithmetic number, because the mean of its divisors is an integer number (44808260994).

Almost surely, 2^{2112036302112} is an apocalyptic number.

2112036302112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2112036302112 is an abundant number, since it is smaller than the sum of its proper divisors (4340353281024).

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

2112036302112 is a wasteful number, since it uses less digits than its factorization.

2112036302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10695423 (or 10695404 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 2112036302112 in words is "two trillion, one hundred twelve billion, thirty-six million, three hundred two thousand, one hundred twelve".